56725171344 has 160 divisors (see below), whose sum is σ = 164635891200. Its totient is φ = 18698480640.

The previous prime is 56725171271. The next prime is 56725171381. The reversal of 56725171344 is 44317152765.

56725171344 is a `hidden beast` number, since 56 + 7 + 251 + 7 + 1 + 344 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 56725171344.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35833177 + ... + 35834759.

It is an arithmetic number, because the mean of its divisors is an integer number (1028974320).

Almost surely, 2^56725171344 is an apocalyptic number.

56725171344 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56725171344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82317945600).

56725171344 is an abundant number, since it is smaller than the sum of its proper divisors (107910719856).

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

56725171344 is a wasteful number, since it uses less digits than its factorization.

56725171344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2470 (or 2458 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The spelling of 56725171344 in words is "fifty-six billion, seven hundred twenty-five million, one hundred seventy-one thousand, three hundred forty-four".