56560560768 has 320 divisors, whose sum is σ = 177280488000. Its totient is φ = 17865695232.

The previous prime is 56560560739. The next prime is 56560560773. The reversal of 56560560768 is 86706506565.

56560560768 is a `hidden beast` number, since 5 + 6 + 5 + 6 + 0 + 560 + 76 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26945383 + ... + 26947481.

It is an arithmetic number, because the mean of its divisors is an integer number (554001525).

Almost surely, 2^56560560768 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 56560560768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88640244000).

56560560768 is an abundant number, since it is smaller than the sum of its proper divisors (120719927232).

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

56560560768 is a wasteful number, since it uses less digits than its factorization.

56560560768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2261 (or 2240 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 56560560768 in words is "fifty-six billion, five hundred sixty million, five hundred sixty thousand, seven hundred sixty-eight".