57906165769 has 9 divisors (see below), whose sum is σ = 58161639501. Its totient is φ = 57651812460.

The previous prime is 57906165767. The next prime is 57906165829. The reversal of 57906165769 is 96756160975.

The square root of 57906165769 is 240637.

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

It is not a de Polignac number, because 57906165769 - 2¹ = 57906165767 is a prime.

It is a super-2 number, since 2×57906165769² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57906165767) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 79650484 + ... + 79651210.

It is an arithmetic number, because the mean of its divisors is an integer number (6462404389).

Almost surely, 2^57906165769 is an apocalyptic number.

57906165769 is the 240637-th square number.

57906165769 is the 120319-th centered octagonal number.

It is an amenable number.

57906165769 is a deficient number, since it is larger than the sum of its proper divisors (255473732).

57906165769 is an frugal number, since it uses more digits than its factorization.

57906165769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2116 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 21432600, while the sum is 61.

The spelling of 57906165769 in words is "fifty-seven billion, nine hundred six million, one hundred sixty-five thousand, seven hundred sixty-nine".