56611132160 has 144 divisors (see below), whose sum is σ = 148914001152. Its totient is φ = 20448768000.

The previous prime is 56611132147. The next prime is 56611132169. The reversal of 56611132160 is 6123111665.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (56611132169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2112767 + ... + 2139393.

It is an arithmetic number, because the mean of its divisors is an integer number (1034125008).

Almost surely, 2^56611132160 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 56611132160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74457000576).

56611132160 is an abundant number, since it is smaller than the sum of its proper divisors (92302868992).

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

56611132160 is a wasteful number, since it uses less digits than its factorization.

56611132160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26810 (or 26796 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The spelling of 56611132160 in words is "fifty-six billion, six hundred eleven million, one hundred thirty-two thousand, one hundred sixty".