56806364160 has 2112 divisors, whose sum is σ = 274676613120. Its totient is φ = 10510663680.

The previous prime is 56806364113. The next prime is 56806364171. The reversal of 56806364160 is 6146360865.

56806364160 is a `hidden beast` number, since 5 + 6 + 8 + 0 + 636 + 4 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1832463345 + ... + 1832463375.

Almost surely, 2^56806364160 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 56806364160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137338306560).

56806364160 is an abundant number, since it is smaller than the sum of its proper divisors (217870248960).

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

56806364160 is a wasteful number, since it uses less digits than its factorization.

56806364160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 103 counting only the distinct ones).

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

The spelling of 56806364160 in words is "fifty-six billion, eight hundred six million, three hundred sixty-four thousand, one hundred sixty".