57855693201849 has 27 divisors (see below), whose sum is σ = 88774940319663. Its totient is φ = 36301368019392.

The previous prime is 57855693201829. The next prime is 57855693201931. The reversal of 57855693201849 is 94810239655875.

The square root of 57855693201849 is 7606293.

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

57855693201849 is a `hidden beast` number, since 5 + 7 + 8 + 5 + 569 + 3 + 2 + 0 + 18 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 45043359759225 + 12812333442624 = 6711435^2 + 3579432^2 .

It is not a de Polignac number, because 57855693201849 - 2⁹ = 57855693201337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (57855693201809) 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, 387846372 + ... + 387995514.

It is a 1-persistent number, because it is pandigital, but 2⋅57855693201849 = 115711386403698 is not.

Almost surely, 2^{57855693201849} is an apocalyptic number.

57855693201849 is the 7606293-rd square number.

57855693201849 is the 3803147-th centered octagonal number.

It is an amenable number.

57855693201849 is a deficient number, since it is larger than the sum of its proper divisors (30919247117814).

57855693201849 is an frugal number, since it uses more digits than its factorization.

57855693201849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298326 (or 149163 counting only the distinct ones).

The product of its (nonzero) digits is 653184000, while the sum is 72.

The spelling of 57855693201849 in words is "fifty-seven trillion, eight hundred fifty-five billion, six hundred ninety-three million, two hundred one thousand, eight hundred forty-nine".