57615841089 has 81 divisors (see below), whose sum is σ = 90073593129. Its totient is φ = 35486478720.

The previous prime is 57615841079. The next prime is 57615841093. The reversal of 57615841089 is 98014851675.

It is a happy number.

The square root of 57615841089 is 240033.

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

57615841089 is a `hidden beast` number, since 5 + 7 + 615 + 8 + 4 + 10 + 8 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5275552689 + 52340288400 = 72633^2 + 228780^2 .

It is not a de Polignac number, because 57615841089 - 2¹⁷ = 57615710017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (57615841079) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 647368957 + ... + 647369045.

Almost surely, 2^57615841089 is an apocalyptic number.

57615841089 is the 240033-rd square number.

57615841089 is the 120017-th centered octagonal number.

It is an amenable number.

57615841089 is a deficient number, since it is larger than the sum of its proper divisors (32457752040).

57615841089 is an equidigital number, since it uses as much as digits as its factorization.

57615841089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

It can be divided in two parts, 57615 and 841089, that added together give a square (898704 = 948²).

The spelling of 57615841089 in words is "fifty-seven billion, six hundred fifteen million, eight hundred forty-one thousand, eighty-nine".