57256204969089 has 27 divisors (see below), whose sum is σ = 96206271267873. Its totient is φ = 32717740609512.

The previous prime is 57256204969069. The next prime is 57256204969099. The reversal of 57256204969089 is 98096940265275.

The square root of 57256204969089 is 7566783.

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

57256204969089 is a `hidden beast` number, since 5 + 7 + 2 + 56 + 2 + 0 + 496 + 9 + 0 + 89 = 666.

It is not a de Polignac number, because 57256204969089 - 2¹³ = 57256204960897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (57256204969069) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 158722282 + ... + 159082604.

Almost surely, 2^{57256204969089} is an apocalyptic number.

57256204969089 is the 7566783-rd square number.

57256204969089 is the 3783392-nd centered octagonal number.

It is an amenable number.

57256204969089 is a deficient number, since it is larger than the sum of its proper divisors (38950066298784).

57256204969089 is an frugal number, since it uses more digits than its factorization.

57256204969089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720666 (or 360333 counting only the distinct ones).

The product of its (nonzero) digits is 587865600, while the sum is 72.

The spelling of 57256204969089 in words is "fifty-seven trillion, two hundred fifty-six billion, two hundred four million, nine hundred sixty-nine thousand, eighty-nine".