56112631200 has 576 divisors, whose sum is σ = 212026429440. Its totient is φ = 14307840000.

The previous prime is 56112631189. The next prime is 56112631217. The reversal of 56112631200 is 213621165.

56112631200 is a `hidden beast` number, since 5 + 6 + 1 + 1 + 2 + 631 + 20 + 0 = 666.

It is a super-3 number, since 3×56112631200³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48750625 + ... + 48751775.

It is an arithmetic number, because the mean of its divisors is an integer number (368101440).

Almost surely, 2^56112631200 is an apocalyptic number.

56112631200 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 56112631200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106013214720).

56112631200 is an abundant number, since it is smaller than the sum of its proper divisors (155913798240).

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

56112631200 is a wasteful number, since it uses less digits than its factorization.

56112631200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 56112631200 in words is "fifty-six billion, one hundred twelve million, six hundred thirty-one thousand, two hundred".