56724756256 has 96 divisors (see below), whose sum is σ = 135225417600. Its totient is φ = 22865842176.

The previous prime is 56724756247. The next prime is 56724756269. The reversal of 56724756256 is 65265742765.

It is a super-2 number, since 2×56724756256² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 56724756197 and 56724756206.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7417971 + ... + 7425613.

It is an arithmetic number, because the mean of its divisors is an integer number (1408598100).

Almost surely, 2^56724756256 is an apocalyptic number.

56724756256 is a gapful number since it is divisible by the number (56) 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 56724756256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67612708800).

56724756256 is an abundant number, since it is smaller than the sum of its proper divisors (78500661344).

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

56724756256 is a wasteful number, since it uses less digits than its factorization.

56724756256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9626 (or 9618 counting only the distinct ones).

The product of its digits is 21168000, while the sum is 55.

The spelling of 56724756256 in words is "fifty-six billion, seven hundred twenty-four million, seven hundred fifty-six thousand, two hundred fifty-six".