56392796160 has 576 divisors, whose sum is σ = 205413848640. Its totient is φ = 14837022720.

The previous prime is 56392796153. The next prime is 56392796171. The reversal of 56392796160 is 6169729365.

56392796160 is a `hidden beast` number, since 5 + 6 + 392 + 7 + 96 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 56392796097 and 56392796106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 325969834 + ... + 325970006.

It is an arithmetic number, because the mean of its divisors is an integer number (356621265).

Almost surely, 2^56392796160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56392796160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102706924320).

56392796160 is an abundant number, since it is smaller than the sum of its proper divisors (149021052480).

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

56392796160 is a wasteful number, since it uses less digits than its factorization.

56392796160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 56392796160 in words is "fifty-six billion, three hundred ninety-two million, seven hundred ninety-six thousand, one hundred sixty".