56528182800 has 150 divisors (see below), whose sum is σ = 202875228138. Its totient is φ = 15074173440.

The previous prime is 56528182793. The next prime is 56528182849. The reversal of 56528182800 is 828182565.

56528182800 is a `hidden beast` number, since 565 + 2 + 8 + 1 + 8 + 2 + 80 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3973537296 + 52554645504 = 63036^2 + 229248^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 29 ways as a sum of consecutive naturals, for example, 839949 + ... + 904748.

Almost surely, 2^56528182800 is an apocalyptic number.

56528182800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56528182800 is an abundant number, since it is smaller than the sum of its proper divisors (146347045338).

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

56528182800 is a wasteful number, since it uses less digits than its factorization.

56528182800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1744727 (or 1744707 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 56528182800 in words is "fifty-six billion, five hundred twenty-eight million, one hundred eighty-two thousand, eight hundred".