ON THE NUMBER OF DIVISORS OF n! (2007)
Paul Erdős, S. W. Graham, Ar Ivić, Carl Pomerance
Abstract. Several results involving d(n!) are obtained, where d(m) denotes the number of positive divisors of m. These include estimates for d(n!)/d((n − 1)!), d(n!) − d((n − 1)!), as well as...