56416352256 has 480 divisors, whose sum is σ = 188367379200. Its totient is φ = 16675061760.

The previous prime is 56416352227. The next prime is 56416352273. The reversal of 56416352256 is 65225361465.

56416352256 is a `hidden beast` number, since 5 + 6 + 4 + 1 + 635 + 2 + 2 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 78464665 + ... + 78465383.

It is an arithmetic number, because the mean of its divisors is an integer number (392432040).

Almost surely, 2^56416352256 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 56416352256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94183689600).

56416352256 is an abundant number, since it is smaller than the sum of its proper divisors (131951026944).

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

56416352256 is a wasteful number, since it uses less digits than its factorization.

56416352256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 778 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 45.

The spelling of 56416352256 in words is "fifty-six billion, four hundred sixteen million, three hundred fifty-two thousand, two hundred fifty-six".