56484140160 has 512 divisors, whose sum is σ = 219280089600. Its totient is φ = 12072517632.

The previous prime is 56484140149. The next prime is 56484140173. The reversal of 56484140160 is 6104148465.

It is a super-2 number, since 2×56484140160² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39526326 + ... + 39527754.

It is an arithmetic number, because the mean of its divisors is an integer number (428281425).

Almost surely, 2^56484140160 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 56484140160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109640044800).

56484140160 is an abundant number, since it is smaller than the sum of its proper divisors (162795949440).

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

56484140160 is a wasteful number, since it uses less digits than its factorization.

56484140160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 56484140160 in words is "fifty-six billion, four hundred eighty-four million, one hundred forty thousand, one hundred sixty".