56172353425920 has 960 divisors, whose sum is σ = 199874394720000. Its totient is φ = 14574705573888.

The previous prime is 56172353425883. The next prime is 56172353425961. The reversal of 56172353425920 is 2952435327165.

56172353425920 is a `hidden beast` number, since 5 + 6 + 1 + 7 + 2 + 3 + 5 + 3 + 42 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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, 79227578526 + ... + 79227579234.

It is an arithmetic number, because the mean of its divisors is an integer number (208202494500).

Almost surely, 2^{56172353425920} 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 56172353425920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99937197360000).

56172353425920 is an abundant number, since it is smaller than the sum of its proper divisors (143702041294080).

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

56172353425920 is a wasteful number, since it uses less digits than its factorization.

56172353425920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 54.

The spelling of 56172353425920 in words is "fifty-six trillion, one hundred seventy-two billion, three hundred fifty-three million, four hundred twenty-five thousand, nine hundred twenty".