  Nevo, Santos, and Wilson constructed $2^{\Omega(N^d)}$ combinatorially
distinct simplicial $(2d-1)$-spheres with $N$ vertices. We prove that all
spheres produced by one of their methods are shellable. Combining this with
prior results of Kalai, Lee, and Benedetti and Ziegler, we conclude that for
all $D \ge 3$, there are $2^{\Theta(N^{\lceil D/2 \rceil})}$ shellable
simplicial $D$-spheres with $N$ vertices.
