57535822853575 has 48 divisors (see below), whose sum is σ = 79923174875136. Its totient is φ = 40731454108800.

The previous prime is 57535822853563. The next prime is 57535822853581.

57535822853575 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 57535822853575 - 2¹⁷ = 57535822722503 is a prime.

It is a super-2 number, since 2×57535822853575² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13690587 + ... + 17392636.

It is an arithmetic number, because the mean of its divisors is an integer number (1665066143232).

Almost surely, 2^{57535822853575} is an apocalyptic number.

57535822853575 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57535822853575 is a deficient number, since it is larger than the sum of its proper divisors (22387352021561).

57535822853575 is a wasteful number, since it uses less digits than its factorization.

57535822853575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31083424 (or 31083419 counting only the distinct ones).

The product of its digits is 1764000000, while the sum is 70.

The spelling of 57535822853575 in words is "fifty-seven trillion, five hundred thirty-five billion, eight hundred twenty-two million, eight hundred fifty-three thousand, five hundred seventy-five".