57534966943575 has 72 divisors (see below), whose sum is σ = 110061380620800. Its totient is φ = 26427544545600.

The previous prime is 57534966943523. The next prime is 57534966943577.

57534966943575 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 57534966943575 - 2²⁴ = 57534950166359 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 57534966943575.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57534966943577) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 166668135 + ... + 167012984.

It is an arithmetic number, because the mean of its divisors is an integer number (1528630286400).

Almost surely, 2^{57534966943575} is an apocalyptic number.

57534966943575 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57534966943575 is a deficient number, since it is larger than the sum of its proper divisors (52526413677225).

57534966943575 is a wasteful number, since it uses less digits than its factorization.

57534966943575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333681173 (or 333681157 counting only the distinct ones).

The product of its digits is 12859560000, while the sum is 78.

The spelling of 57534966943575 in words is "fifty-seven trillion, five hundred thirty-four billion, nine hundred sixty-six million, nine hundred forty-three thousand, five hundred seventy-five".