56626806456 has 240 divisors, whose sum is σ = 179968662720. Its totient is φ = 16605388800.

The previous prime is 56626806437. The next prime is 56626806497. The reversal of 56626806456 is 65460862665.

56626806456 is a `hidden beast` number, since 5 + 6 + 626 + 8 + 0 + 6 + 4 + 5 + 6 = 666.

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 59 ways as a sum of consecutive naturals, for example, 2419000 + ... + 2442296.

It is an arithmetic number, because the mean of its divisors is an integer number (749869428).

Almost surely, 2^56626806456 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 56626806456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89984331360).

56626806456 is an abundant number, since it is smaller than the sum of its proper divisors (123341856264).

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

56626806456 is a wasteful number, since it uses less digits than its factorization.

56626806456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23368 (or 23344 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 56626806456 in words is "fifty-six billion, six hundred twenty-six million, eight hundred six thousand, four hundred fifty-six".