56610675792 has 560 divisors, whose sum is σ = 190065739776. Its totient is φ = 16166304000.

The previous prime is 56610675713. The next prime is 56610675817. The reversal of 56610675792 is 29757601665.

56610675792 is a `hidden beast` number, since 5 + 6 + 6 + 1 + 0 + 67 + 579 + 2 = 666.

It is a super-2 number, since 2×56610675792² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 171029067 + ... + 171029397.

Almost surely, 2^56610675792 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 56610675792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95032869888).

56610675792 is an abundant number, since it is smaller than the sum of its proper divisors (133455063984).

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

56610675792 is a wasteful number, since it uses less digits than its factorization.

56610675792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

It can be divided in two parts, 566106757 and 92, that added together give a square (566106849 = 23793²).

The spelling of 56610675792 in words is "fifty-six billion, six hundred ten million, six hundred seventy-five thousand, seven hundred ninety-two".