56815135200 has 108 divisors (see below), whose sum is σ = 200344395888. Its totient is φ = 15150700800.

The previous prime is 56815135177. The next prime is 56815135217. The reversal of 56815135200 is 253151865.

It is a happy number.

56815135200 is a `hidden beast` number, since 5 + 6 + 81 + 51 + 3 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3938296 + ... + 3952695.

Almost surely, 2^56815135200 is an apocalyptic number.

56815135200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56815135200 is an abundant number, since it is smaller than the sum of its proper divisors (143529260688).

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

56815135200 is a wasteful number, since it uses less digits than its factorization.

56815135200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7891017 (or 7891001 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

It can be divided in two parts, 568151 and 35200, that added together give a triangular number (603351 = T₁₀₉₈).

The spelling of 56815135200 in words is "fifty-six billion, eight hundred fifteen million, one hundred thirty-five thousand, two hundred".