11792940800 has 216 divisors, whose sum is σ = 31226032656. Its totient is φ = 4393861120.

The previous prime is 11792940781. The next prime is 11792940821. The reversal of 11792940800 is 804929711.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11641094 + ... + 11642106.

It is an arithmetic number, because the mean of its divisors is an integer number (144564966).

Almost surely, 2^11792940800 is an apocalyptic number.

11792940800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11792940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15613016328).

11792940800 is an abundant number, since it is smaller than the sum of its proper divisors (19433091856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11792940800 is a wasteful number, since it uses less digits than its factorization.

11792940800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 41.

The spelling of 11792940800 in words is "eleven billion, seven hundred ninety-two million, nine hundred forty thousand, eight hundred".