56180979360 has 288 divisors, whose sum is σ = 212272062912. Its totient is φ = 13416099840.

The previous prime is 56180979359. The next prime is 56180979373. The reversal of 56180979360 is 6397908165.

56180979360 is a `hidden beast` number, since 561 + 8 + 0 + 9 + 79 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 56180979297 and 56180979306.

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, 1034812 + ... + 1087748.

It is an arithmetic number, because the mean of its divisors is an integer number (737055774).

Almost surely, 2^56180979360 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 56180979360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106136031456).

56180979360 is an abundant number, since it is smaller than the sum of its proper divisors (156091083552).

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

56180979360 is a wasteful number, since it uses less digits than its factorization.

56180979360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53036 (or 53025 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 56180979360 in words is "fifty-six billion, one hundred eighty million, nine hundred seventy-nine thousand, three hundred sixty".