56677324900 has 243 divisors, whose sum is σ = 151844330169. Its totient is φ = 18306630720.

The previous prime is 56677324883. The next prime is 56677324909. The reversal of 56677324900 is 942377665.

The square root of 56677324900 is 238070.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 20403836964 + 36273487936 = 142842^2 + 190456^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (56677324909) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 316633011 + ... + 316633189.

Almost surely, 2^56677324900 is an apocalyptic number.

56677324900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

56677324900 is the 238070-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56677324900

56677324900 is an abundant number, since it is smaller than the sum of its proper divisors (95167005269).

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

56677324900 is a wasteful number, since it uses less digits than its factorization.

56677324900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 49.

Multiplying 56677324900 by its sum of digits (49), we get a square (2777188920100 = 1666490²).

56677324900 divided by its sum of digits (49) gives a square (1156680100 = 34010²).

The spelling of 56677324900 in words is "fifty-six billion, six hundred seventy-seven million, three hundred twenty-four thousand, nine hundred".