56788584262560 has 72 divisors (see below), whose sum is σ = 193791043800900. Its totient is φ = 15143622469632.

The previous prime is 56788584262541. The next prime is 56788584262561. The reversal of 56788584262560 is 6526248588765.

56788584262560 is a `hidden beast` number, since 5 + 6 + 7 + 8 + 8 + 58 + 4 + 2 + 6 + 2 + 560 = 666.

56788584262560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 45510512837904 + 11278071424656 = 6746148^2 + 3358284^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (56788584262561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19718256985 + ... + 19718259864.

Almost surely, 2^{56788584262560} is an apocalyptic number.

It is an amenable number.

56788584262560 is an abundant number, since it is smaller than the sum of its proper divisors (137002459538340).

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

56788584262560 is a wasteful number, since it uses less digits than its factorization.

56788584262560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39436516870 (or 39436516859 counting only the distinct ones).

The product of its (nonzero) digits is 1548288000, while the sum is 72.

The spelling of 56788584262560 in words is "fifty-six trillion, seven hundred eighty-eight billion, five hundred eighty-four million, two hundred sixty-two thousand, five hundred sixty".