56540576074752 has 3520 divisors, whose sum is σ = 233119041408000. Its totient is φ = 13484225986560.

The previous prime is 56540576074681. The next prime is 56540576074777. The reversal of 56540576074752 is 25747067504565.

56540576074752 is a `hidden beast` number, since 5 + 6 + 5 + 4 + 0 + 576 + 0 + 7 + 4 + 7 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 56540576074752.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 220002241408 + ... + 220002241664.

It is an arithmetic number, because the mean of its divisors is an integer number (66227000400).

Almost surely, 2^{56540576074752} 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 56540576074752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116559520704000).

56540576074752 is an abundant number, since it is smaller than the sum of its proper divisors (176578465333248).

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

56540576074752 is a wasteful number, since it uses less digits than its factorization.

56540576074752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 246960000, while the sum is 63.

The spelling of 56540576074752 in words is "fifty-six trillion, five hundred forty billion, five hundred seventy-six million, seventy-four thousand, seven hundred fifty-two".