57553477435575 has 144 divisors (see below), whose sum is σ = 112581740899680. Its totient is φ = 27873538560000.

The previous prime is 57553477435499. The next prime is 57553477435603.

57553477435575 is a `hidden beast` number, since 5 + 7 + 5 + 5 + 3 + 4 + 7 + 7 + 43 + 5 + 575 = 666.

57553477435575 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 57553477435575 - 2¹⁷ = 57553477304503 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13858287699 + ... + 13858291851.

Almost surely, 2^{57553477435575} is an apocalyptic number.

57553477435575 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57553477435575 is a deficient number, since it is larger than the sum of its proper divisors (55028263464105).

57553477435575 is a wasteful number, since it uses less digits than its factorization.

57553477435575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9090 (or 9082 counting only the distinct ones).

The product of its digits is 5402250000, while the sum is 72.

The spelling of 57553477435575 in words is "fifty-seven trillion, five hundred fifty-three billion, four hundred seventy-seven million, four hundred thirty-five thousand, five hundred seventy-five".