56906531868672 has 156 divisors (see below), whose sum is σ = 170044740784620. Its totient is φ = 18314745544704.

The previous prime is 56906531868671. The next prime is 56906531868727. The reversal of 56906531868672 is 27686813560965.

56906531868672 is a `hidden beast` number, since 5 + 6 + 9 + 0 + 6 + 531 + 8 + 6 + 86 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 43049555398656 + 13856976470016 = 6561216^2 + 3722496^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 56906531868672.

It is not an unprimeable number, because it can be changed into a prime (56906531868671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25546263 + ... + 27684374.

It is an arithmetic number, because the mean of its divisors is an integer number (1090030389645).

Almost surely, 2^{56906531868672} is an apocalyptic number.

It is an amenable number.

56906531868672 is an abundant number, since it is smaller than the sum of its proper divisors (113138208915948).

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

56906531868672 is a wasteful number, since it uses less digits than its factorization.

56906531868672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53230696 (or 53230671 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 56906531868672 in words is "fifty-six trillion, nine hundred six billion, five hundred thirty-one million, eight hundred sixty-eight thousand, six hundred seventy-two".