56695419664 has 135 divisors (see below), whose sum is σ = 126060090399. Its totient is φ = 24687037440.

The previous prime is 56695419619. The next prime is 56695419673. The reversal of 56695419664 is 46691459665.

The square root of 56695419664 is 238108.

It is a perfect power (a square), and thus also a powerful number.

56695419664 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 4 ways, for example, as 901200400 + 55794219264 = 30020^2 + 236208^2 .

It is a super-2 number, since 2×56695419664² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 235250584 + ... + 235250824.

Almost surely, 2^56695419664 is an apocalyptic number.

56695419664 is the 238108-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56695419664

56695419664 is an abundant number, since it is smaller than the sum of its proper divisors (69364670735).

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

56695419664 is a wasteful number, since it uses less digits than its factorization.

56695419664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 275 counting only the distinct ones).

The product of its digits is 41990400, while the sum is 61.

The spelling of 56695419664 in words is "fifty-six billion, six hundred ninety-five million, four hundred nineteen thousand, six hundred sixty-four".