56957632586496 has 180 divisors, whose sum is σ = 169843847440344. Its totient is φ = 18985151692800.

The previous prime is 56957632586443. The next prime is 56957632586497. The reversal of 56957632586496 is 69468523675965.

56957632586496 is a `hidden beast` number, since 5 + 6 + 9 + 5 + 76 + 3 + 2 + 58 + 6 + 496 = 666.

56957632586496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (56957632586497) 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 19 ways as a sum of consecutive naturals, for example, 1022899776 + ... + 1022955456.

Almost surely, 2^{56957632586496} 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 56957632586496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84921923720172).

56957632586496 is an abundant number, since it is smaller than the sum of its proper divisors (112886214853848).

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

56957632586496 is an equidigital number, since it uses as much as digits as its factorization.

56957632586496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105040 (or 105017 counting only the distinct ones).

The product of its digits is 17635968000, while the sum is 81.

The spelling of 56957632586496 in words is "fifty-six trillion, nine hundred fifty-seven billion, six hundred thirty-two million, five hundred eighty-six thousand, four hundred ninety-six".