56432139264 has 176 divisors, whose sum is σ = 167687619840. Its totient is φ = 18747371520.

The previous prime is 56432139227. The next prime is 56432139277. The reversal of 56432139264 is 46293123465.

56432139264 is a `hidden beast` number, since 5 + 64 + 321 + 3 + 9 + 264 = 666.

It is a super-2 number, since 2×56432139264² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8595247 + ... + 8601809.

Almost surely, 2^56432139264 is an apocalyptic number.

56432139264 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56432139264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83843809920).

56432139264 is an abundant number, since it is smaller than the sum of its proper divisors (111255480576).

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

56432139264 is a wasteful number, since it uses less digits than its factorization.

56432139264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6903 (or 6879 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The spelling of 56432139264 in words is "fifty-six billion, four hundred thirty-two million, one hundred thirty-nine thousand, two hundred sixty-four".