56634371200 has 768 divisors, whose sum is σ = 173097492480. Its totient is φ = 18063360000.

The previous prime is 56634371191. The next prime is 56634371221. The reversal of 56634371200 is 217343665.

It is a self number, because there is not a number n which added to its sum of digits gives 56634371200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 797667165 + ... + 797667235.

It is an arithmetic number, because the mean of its divisors is an integer number (225387360).

Almost surely, 2^56634371200 is an apocalyptic number.

56634371200 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 56634371200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86548746240).

56634371200 is an abundant number, since it is smaller than the sum of its proper divisors (116463121280).

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

56634371200 is a wasteful number, since it uses less digits than its factorization.

56634371200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 37.

The spelling of 56634371200 in words is "fifty-six billion, six hundred thirty-four million, three hundred seventy-one thousand, two hundred".