56682205200 has 180 divisors, whose sum is σ = 203486233860. Its totient is φ = 14594012160.

The previous prime is 56682205189. The next prime is 56682205201. The reversal of 56682205200 is 250228665.

56682205200 is a `hidden beast` number, since 56 + 6 + 82 + 2 + 0 + 520 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 8842017024 + 47840188176 = 94032^2 + 218724^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (56682205201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 167067 + ... + 375866.

It is an arithmetic number, because the mean of its divisors is an integer number (1130479077).

Almost surely, 2^56682205200 is an apocalyptic number.

56682205200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56682205200 is an abundant number, since it is smaller than the sum of its proper divisors (146804028660).

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

56682205200 is a wasteful number, since it uses less digits than its factorization.

56682205200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542986 (or 542972 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 56682205200 in words is "fifty-six billion, six hundred eighty-two million, two hundred five thousand, two hundred".