57101881600 has 243 divisors, whose sum is σ = 147812735343. Its totient is φ = 21839032320.

The previous prime is 57101881567. The next prime is 57101881643. The reversal of 57101881600 is 618810175.

The square root of 57101881600 is 238960.

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 784896256 + 56316985344 = 28016^2 + 237312^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 57101881600.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 554387149 + ... + 554387251.

Almost surely, 2^57101881600 is an apocalyptic number.

57101881600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

57101881600 is the 238960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57101881600

57101881600 is an abundant number, since it is smaller than the sum of its proper divisors (90710853743).

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

57101881600 is an equidigital number, since it uses as much as digits as its factorization.

57101881600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 37.

The spelling of 57101881600 in words is "fifty-seven billion, one hundred one million, eight hundred eighty-one thousand, six hundred".