57566404900 has 27 divisors (see below), whose sum is σ = 124924305331. Its totient is φ = 23025602240.

The previous prime is 57566404879. The next prime is 57566404927. The reversal of 57566404900 is 940466575.

The square root of 57566404900 is 239930.

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 34289410276 + 23276994624 = 185174^2 + 152568^2 .

It is a super-2 number, since 2×57566404900² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 2387304 + ... + 2411296.

Almost surely, 2^57566404900 is an apocalyptic number.

57566404900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

57566404900 is the 239930-th square number.

It is an amenable number.

57566404900 is an abundant number, since it is smaller than the sum of its proper divisors (67357900431).

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

57566404900 is an frugal number, since it uses more digits than its factorization.

57566404900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48000 (or 24000 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 46.

The spelling of 57566404900 in words is "fifty-seven billion, five hundred sixty-six million, four hundred four thousand, nine hundred".