56669276160 has 1152 divisors, whose sum is σ = 242004672000. Its totient is φ = 12534939648.

The previous prime is 56669276143. The next prime is 56669276189. The reversal of 56669276160 is 6167296665.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×56669276160² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 56669276097 and 56669276106.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 636733396 + ... + 636733484.

It is an arithmetic number, because the mean of its divisors is an integer number (210073500).

Almost surely, 2^56669276160 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 56669276160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121002336000).

56669276160 is an abundant number, since it is smaller than the sum of its proper divisors (185335395840).

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

56669276160 is a wasteful number, since it uses less digits than its factorization.

56669276160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 56669276160 in words is "fifty-six billion, six hundred sixty-nine million, two hundred seventy-six thousand, one hundred sixty".