56656430064 has 120 divisors (see below), whose sum is σ = 170824504032. Its totient is φ = 17425774080.

The previous prime is 56656430057. The next prime is 56656430093. The reversal of 56656430064 is 46003465665.

56656430064 is a `hidden beast` number, since 56 + 6 + 564 + 30 + 0 + 6 + 4 = 666.

56656430064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6598254 + ... + 6606834.

Almost surely, 2^56656430064 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 56656430064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85412252016).

56656430064 is an abundant number, since it is smaller than the sum of its proper divisors (114168073968).

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

56656430064 is a wasteful number, since it uses less digits than its factorization.

56656430064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12135 (or 12126 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 56656430064 in words is "fifty-six billion, six hundred fifty-six million, four hundred thirty thousand, sixty-four".