57260661264 has 375 divisors, whose sum is σ = 184075722523. Its totient is φ = 17183079936.

The previous prime is 57260661259. The next prime is 57260661299. The reversal of 57260661264 is 46216606275.

The square root of 57260661264 is 239292.

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

57260661264 is a `hidden beast` number, since 5 + 7 + 26 + 0 + 6 + 612 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17771022864 + 39489638400 = 133308^2 + 198720^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 2489593957 + ... + 2489593979.

Almost surely, 2^57260661264 is an apocalyptic number.

57260661264 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

57260661264 is the 239292-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57260661264

57260661264 is an abundant number, since it is smaller than the sum of its proper divisors (126815061259).

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

57260661264 is an frugal number, since it uses more digits than its factorization.

57260661264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 57260661264 in words is "fifty-seven billion, two hundred sixty million, six hundred sixty-one thousand, two hundred sixty-four".