56004766416 has 80 divisors (see below), whose sum is σ = 160994120320. Its totient is φ = 18640419840.

The previous prime is 56004766399. The next prime is 56004766427. The reversal of 56004766416 is 61466740065.

56004766416 is a `hidden beast` number, since 560 + 0 + 4 + 76 + 6 + 4 + 16 = 666.

It is a super-2 number, since 2×56004766416² (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, 194421 + ... + 387051.

It is an arithmetic number, because the mean of its divisors is an integer number (2012426504).

Almost surely, 2^56004766416 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 56004766416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80497060160).

56004766416 is an abundant number, since it is smaller than the sum of its proper divisors (104989353904).

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

56004766416 is a wasteful number, since it uses less digits than its factorization.

56004766416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193321 (or 193309 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 56004766416 in words is "fifty-six billion, four million, seven hundred sixty-six thousand, four hundred sixteen".