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From The Free On-line Dictionary of Computing (05 January 2017) [foldoc]:
factorial
The mathematical function that takes a
natural number, N, and returns the product of N and all
smaller positive integers. This is written
N! = N * (N-1) * (N-2) * ... * 1.
The factorial of zero is one because it is an {empty
product}.
Factorial can be defined recursively as
0! = 1
N! = N * (N-1)! , N > 0
The gamma function is the equivalent for real numbers.
For example, the number of ways of shuffling 52 playing cards is
52! or nearly 10^68. {52 Factorial
(http://czep.net/weblog/52cards.html)}.
(2012-11-23)