57668180164 has 81 divisors (see below), whose sum is σ = 124831513863. Its totient is φ = 23238061056.

The previous prime is 57668180159. The next prime is 57668180203. The reversal of 57668180164 is 46108186675.

The square root of 57668180164 is 240142.

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 543356100 + 57124824064 = 23310^2 + 239008^2 .

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 26 ways as a sum of consecutive naturals, for example, 57153292 + ... + 57154300.

Almost surely, 2^57668180164 is an apocalyptic number.

57668180164 is the 240142-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57668180164

57668180164 is an abundant number, since it is smaller than the sum of its proper divisors (67163333699).

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

57668180164 is a wasteful number, since it uses less digits than its factorization.

57668180164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2070 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 52.

The spelling of 57668180164 in words is "fifty-seven billion, six hundred sixty-eight million, one hundred eighty thousand, one hundred sixty-four".