56466813312 has 640 divisors, whose sum is σ = 209294648640. Its totient is φ = 14714929152.

The previous prime is 56466813287. The next prime is 56466813349. The reversal of 56466813312 is 21331866465.

56466813312 is a `hidden beast` number, since 56 + 466 + 8 + 133 + 1 + 2 = 666.

It is a super-2 number, since 2×56466813312² (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 79 ways as a sum of consecutive naturals, for example, 91518028 + ... + 91518644.

Almost surely, 2^56466813312 is an apocalyptic number.

56466813312 is a gapful number since it is divisible by the number (52) 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 56466813312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104647324320).

56466813312 is an abundant number, since it is smaller than the sum of its proper divisors (152827835328).

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

56466813312 is a wasteful number, since it uses less digits than its factorization.

56466813312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 739 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 56466813312 in words is "fifty-six billion, four hundred sixty-six million, eight hundred thirteen thousand, three hundred twelve".