56582726256 has 400 divisors, whose sum is σ = 197716710400. Its totient is φ = 15260990976.

The previous prime is 56582726209. The next prime is 56582726261. The reversal of 56582726256 is 65262728565.

56582726256 is a `hidden beast` number, since 5 + 6 + 5 + 8 + 2 + 7 + 2 + 625 + 6 = 666.

56582726256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×56582726256² (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 79 ways as a sum of consecutive naturals, for example, 79806030 + ... + 79806738.

It is an arithmetic number, because the mean of its divisors is an integer number (494291776).

Almost surely, 2^56582726256 is an apocalyptic number.

56582726256 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 56582726256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98858355200).

56582726256 is an abundant number, since it is smaller than the sum of its proper divisors (141133984144).

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

56582726256 is a wasteful number, since it uses less digits than its factorization.

56582726256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1203 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 54.

The spelling of 56582726256 in words is "fifty-six billion, five hundred eighty-two million, seven hundred twenty-six thousand, two hundred fifty-six".