56157176275200 has 3456 divisors, whose sum is σ = 279417356144640. Its totient is φ = 10657175961600.

The previous prime is 56157176275181. The next prime is 56157176275289. The reversal of 56157176275200 is 257267175165.

56157176275200 is a `hidden beast` number, since 5 + 6 + 1 + 5 + 7 + 1 + 7 + 627 + 5 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×56157176275200² (a number of 28 digits) contains 22 as substring.

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 383 ways as a sum of consecutive naturals, for example, 16778359927 + ... + 16778363273.

It is an arithmetic number, because the mean of its divisors is an integer number (80849929440).

Almost surely, 2^{56157176275200} is an apocalyptic number.

56157176275200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56157176275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139708678072320).

56157176275200 is an abundant number, since it is smaller than the sum of its proper divisors (223260179869440).

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

56157176275200 is a wasteful number, since it uses less digits than its factorization.

56157176275200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3510 (or 3485 counting only the distinct ones).

The product of its (nonzero) digits is 6174000, while the sum is 54.

The spelling of 56157176275200 in words is "fifty-six trillion, one hundred fifty-seven billion, one hundred seventy-six million, two hundred seventy-five thousand, two hundred".