56579375440 has 80 divisors (see below), whose sum is σ = 150549649920. Its totient is φ = 19371525120.

The previous prime is 56579375431. The next prime is 56579375441. The reversal of 56579375440 is 4457397565.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56579375441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 332380 + ... + 472900.

It is an arithmetic number, because the mean of its divisors is an integer number (1881870624).

Almost surely, 2^56579375440 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 56579375440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75274824960).

56579375440 is an abundant number, since it is smaller than the sum of its proper divisors (93970274480).

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

56579375440 is a wasteful number, since it uses less digits than its factorization.

56579375440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141260 (or 141254 counting only the distinct ones).

The product of its (nonzero) digits is 15876000, while the sum is 55.

The spelling of 56579375440 in words is "fifty-six billion, five hundred seventy-nine million, three hundred seventy-five thousand, four hundred forty".