56107572480 has 720 divisors, whose sum is σ = 215076907584. Its totient is φ = 13974405120.

The previous prime is 56107572407. The next prime is 56107572487. The reversal of 56107572480 is 8427570165.

56107572480 is a `hidden beast` number, since 5 + 610 + 7 + 5 + 7 + 24 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56107572487) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 428302015 + ... + 428302145.

Almost surely, 2^56107572480 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 56107572480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107538453792).

56107572480 is an abundant number, since it is smaller than the sum of its proper divisors (158969335104).

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

56107572480 is an frugal number, since it uses more digits than its factorization.

56107572480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 56107572480 in words is "fifty-six billion, one hundred seven million, five hundred seventy-two thousand, four hundred eighty".