56193578280 has 960 divisors, whose sum is σ = 229943221200. Its totient is φ = 12262440960.

The previous prime is 56193578249. The next prime is 56193578291. The reversal of 56193578280 is 8287539165.

56193578280 is a `hidden beast` number, since 5 + 6 + 1 + 9 + 357 + 8 + 280 = 666.

56193578280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3200617476 + 52992960804 = 56574^2 + 230202^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 579315192 + ... + 579315288.

Almost surely, 2^56193578280 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 56193578280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114971610600).

56193578280 is an abundant number, since it is smaller than the sum of its proper divisors (173749642920).

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

56193578280 is a wasteful number, since it uses less digits than its factorization.

56193578280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 56193578280 in words is "fifty-six billion, one hundred ninety-three million, five hundred seventy-eight thousand, two hundred eighty".