  We discuss the asymptotic expansions of certain products of Bernoulli numbers
and factorials, e.g., \[ \prod_{\nu=1}^n |B_{2\nu}| \quad \text{and} \quad
\prod_{\nu=1}^n (k \nu)!^{\nu^r} \quad \text{as} \quad n \to \infty \] for
integers $k \geq 1$ and $r \geq 0$. Our main interest is to determine exact
expressions, in terms of known constants, for the asymptotic constants of these
expansions and to show some relations among them.
