56365566516792 has 256 divisors, whose sum is σ = 169790277888000. Its totient is φ = 17222562745344.

The previous prime is 56365566516767. The next prime is 56365566516839. The reversal of 56365566516792 is 29761566556365.

56365566516792 is a `hidden beast` number, since 5 + 6 + 3 + 6 + 5 + 566 + 51 + 6 + 7 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 56365566516792.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 484352709 + ... + 484469067.

It is an arithmetic number, because the mean of its divisors is an integer number (663243273000).

Almost surely, 2^{56365566516792} is an apocalyptic number.

56365566516792 is a gapful number since it is divisible by the number (52) 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 56365566516792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84895138944000).

56365566516792 is an abundant number, since it is smaller than the sum of its proper divisors (113424711371208).

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

56365566516792 is a wasteful number, since it uses less digits than its factorization.

56365566516792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117587 (or 117577 counting only the distinct ones).

The product of its digits is 1837080000, while the sum is 72.

The spelling of 56365566516792 in words is "fifty-six trillion, three hundred sixty-five billion, five hundred sixty-six million, five hundred sixteen thousand, seven hundred ninety-two".