Caption: A very simplified cutaway diagram of a neutron star's structure.
Features:
Neutron stars are the compact remnants left by core-collapse supernovae.
There is a theoretical upper limit to neutron star mass called the Tolman-Oppenheimer-Volkoff limit. As of circa 2017, this limit is thought to be ∼ 2.2 M_☉ based observations. Theoretically, the limit is NOT well constrained, but as is somewhere in the range ∼ 2--3 M_☉. It depends on the behavior of degenerate neutron matter and nuclear matter both of which are NOT fully understood.
Above the Tolman-Oppenheimer-Volkoff limit---whatever it is exactly---the collapse of neutron star to being a black hole is predicted.
Since neutron stars are of order 1.5 to 2 M_☉, they are super dense objects with densities of order 5*10**14 g/cm**3.
Recall liquid water has density almost exactly 1 g/cm**3.
So neutron stars are very exotic objects.
In deeper layers, free neutrons predominate. Under ordinary conditions free neutrons are unstable to radioactive decay with a half-life of 881.5(15) seconds ≅ 14.67 minutes. But at neutron star densities, neutrons are stabilized.
Much of the interior may be a superfluid of degenerate neutron matter.
More exotic forms of matter are possible too (see Wikipedia: Neutron star: Structure).
The neutron stars that emit beamed radio radiation are called pulsars.
The rotational periods of pulsar are very constant and occur in the range from millseconds to seconds (see Wikipedia: Pulsar).
Pulsars are, in fact, very accurate/precise clocks.
Dead pulsars are just rather inert neutron stars in most cases and are rather unobservable.
The estimated population in the Milky Way of neutron stars---most of which are rather inert and hard to detect---is ∼ 10**8 (see Wikipedia: Neutron star).
So there is also ∼ 10**8 M_☉ in neutron stars in the Milky Way.
Thus, the fraction of Milky Way stellar mass in neutron stars is only ∼ 2*10**(-3) = 0.2 % which probably makes the neutron star mass insignificant for Milky Way evolution.
Most of the Milky Way mass is dark matter which forms the Milky Way dark halo.