56761029936 has 400 divisors, whose sum is σ = 184997159424. Its totient is φ = 16685803008.

The previous prime is 56761029881. The next prime is 56761029943. The reversal of 56761029936 is 63992016765.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 34048975 + ... + 34050641.

Almost surely, 2^56761029936 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 56761029936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92498579712).

56761029936 is an abundant number, since it is smaller than the sum of its proper divisors (128236129488).

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

56761029936 is a wasteful number, since it uses less digits than its factorization.

56761029936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790 (or 1775 counting only the distinct ones).

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

The spelling of 56761029936 in words is "fifty-six billion, seven hundred sixty-one million, twenty-nine thousand, nine hundred thirty-six".