57758508900 has 81 divisors (see below), whose sum is σ = 181063439193. Its totient is φ = 15400346400.

The previous prime is 57758508869. The next prime is 57758508919. The reversal of 57758508900 is 980585775.

The square root of 57758508900 is 240330.

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

57758508900 is a `hidden beast` number, since 57 + 7 + 585 + 0 + 8 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20793063204 + 36965445696 = 144198^2 + 192264^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7205895 + ... + 7213905.

Almost surely, 2^57758508900 is an apocalyptic number.

57758508900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

57758508900 is the 240330-th square number.

It is an amenable number.

57758508900 is an abundant number, since it is smaller than the sum of its proper divisors (123304930293).

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

57758508900 is an equidigital number, since it uses as much as digits as its factorization.

57758508900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16042 (or 8021 counting only the distinct ones).

The product of its (nonzero) digits is 3528000, while the sum is 54.

The spelling of 57758508900 in words is "fifty-seven billion, seven hundred fifty-eight million, five hundred eight thousand, nine hundred".