57296164552929 has 63 divisors (see below), whose sum is σ = 88301108408457. Its totient is φ = 37160174723904.

The previous prime is 57296164552867. The next prime is 57296164552933. The reversal of 57296164552929 is 92925546169275.

The square root of 57296164552929 is 7569423.

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

57296164552929 is a `hidden beast` number, since 5 + 7 + 2 + 9 + 6 + 1 + 64 + 552 + 9 + 2 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3480735742929 + 53815428810000 = 1865673^2 + 7335900^2 .

It is a de Polignac number, because none of the positive numbers 2^k-57296164552929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (57296164551929) by changing a digit.

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 62 ways as a sum of consecutive naturals, for example, 7561849789 + ... + 7561857365.

Almost surely, 2^{57296164552929} is an apocalyptic number.

57296164552929 is the 7569423-rd square number.

57296164552929 is the 3784712-nd centered octagonal number.

It is an amenable number.

57296164552929 is a deficient number, since it is larger than the sum of its proper divisors (31004943855528).

57296164552929 is an frugal number, since it uses more digits than its factorization.

57296164552929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15246 (or 7617 counting only the distinct ones).

The product of its digits is 734832000, while the sum is 72.

The spelling of 57296164552929 in words is "fifty-seven trillion, two hundred ninety-six billion, one hundred sixty-four million, five hundred fifty-two thousand, nine hundred twenty-nine".