56416541760 has 336 divisors, whose sum is σ = 205068464640. Its totient is φ = 14206832640.

The previous prime is 56416541743. The next prime is 56416541773. The reversal of 56416541760 is 6714561465.

56416541760 is a `hidden beast` number, since 5 + 6 + 41 + 6 + 541 + 7 + 60 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5227570 + ... + 5238350.

Almost surely, 2^56416541760 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 56416541760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102534232320).

56416541760 is an abundant number, since it is smaller than the sum of its proper divisors (148651922880).

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

56416541760 is a wasteful number, since it uses less digits than its factorization.

56416541760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10906 (or 10893 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 56416541760 in words is "fifty-six billion, four hundred sixteen million, five hundred forty-one thousand, seven hundred sixty".