56815489600 has 189 divisors, whose sum is σ = 143633267851. Its totient is φ = 22119808000.

The previous prime is 56815489567. The next prime is 56815489607. The reversal of 56815489600 is 698451865.

The square root of 56815489600 is 238360.

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

It can be written as a sum of positive squares in 4 ways, for example, as 10490675776 + 46324813824 = 102424^2 + 215232^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (56815489607) 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 26 ways as a sum of consecutive naturals, for example, 562529550 + ... + 562529650.

Almost surely, 2^56815489600 is an apocalyptic number.

56815489600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

56815489600 is the 238360-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56815489600

56815489600 is an abundant number, since it is smaller than the sum of its proper divisors (86817778251).

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

56815489600 is an equidigital number, since it uses as much as digits as its factorization.

56815489600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 52.

The spelling of 56815489600 in words is "fifty-six billion, eight hundred fifteen million, four hundred eighty-nine thousand, six hundred".