56645111160 has 640 divisors, whose sum is σ = 228198643200. Its totient is φ = 12440355840.

The previous prime is 56645111123. The next prime is 56645111191. The reversal of 56645111160 is 6111154665.

56645111160 is a `hidden beast` number, since 5 + 6 + 645 + 1 + 1 + 1 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 15572862 + ... + 15576498.

It is an arithmetic number, because the mean of its divisors is an integer number (356560380).

Almost surely, 2^56645111160 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 56645111160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114099321600).

56645111160 is an abundant number, since it is smaller than the sum of its proper divisors (171553532040).

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

56645111160 is a wasteful number, since it uses less digits than its factorization.

56645111160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3713 (or 3700 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 56645111160 in words is "fifty-six billion, six hundred forty-five million, one hundred eleven thousand, one hundred sixty".