56965995014400 has 1944 divisors, whose sum is σ = 229480955716320. Its totient is φ = 13824486604800.

The previous prime is 56965995014399. The next prime is 56965995014443. The reversal of 56965995014400 is 441059956965.

56965995014400 is a `hidden beast` number, since 5 + 6 + 96 + 5 + 99 + 50 + 1 + 4 + 400 = 666.

56965995014400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 47991570607 + ... + 47991571793.

Almost surely, 2^{56965995014400} is an apocalyptic number.

56965995014400 is a gapful number since it is divisible by the number (50) 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 56965995014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114740477858160).

56965995014400 is an abundant number, since it is smaller than the sum of its proper divisors (172514960701920).

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

56965995014400 is a wasteful number, since it uses less digits than its factorization.

56965995014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 52488000, while the sum is 63.

The spelling of 56965995014400 in words is "fifty-six trillion, nine hundred sixty-five billion, nine hundred ninety-five million, fourteen thousand, four hundred".