56266560416 has 288 divisors, whose sum is σ = 133205990400. Its totient is φ = 23306342400.

The previous prime is 56266560397. The next prime is 56266560431. The reversal of 56266560416 is 61406566265.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 245705390 + ... + 245705618.

It is an arithmetic number, because the mean of its divisors is an integer number (462520800).

Almost surely, 2^56266560416 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 56266560416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66602995200).

56266560416 is an abundant number, since it is smaller than the sum of its proper divisors (76939429984).

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

56266560416 is a wasteful number, since it uses less digits than its factorization.

56266560416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 47.

The spelling of 56266560416 in words is "fifty-six billion, two hundred sixty-six million, five hundred sixty thousand, four hundred sixteen".