557577585775755 has 12 divisors (see below), whose sum is σ = 966467815344720. Its totient is φ = 297374712413712.

The previous prime is 557577585775709. The next prime is 557577585775781.

557577585775755 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 557577585775755 - 2¹¹ = 557577585773707 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6195306508575 + ... + 6195306508664.

It is an arithmetic number, because the mean of its divisors is an integer number (80538984612060).

Almost surely, 2^{557577585775755} is an apocalyptic number.

557577585775755 is a deficient number, since it is larger than the sum of its proper divisors (408890229568965).

557577585775755 is a wasteful number, since it uses less digits than its factorization.

557577585775755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12390613017250 (or 12390613017247 counting only the distinct ones).

The product of its digits is 367653125000, while the sum is 90.

The spelling of 557577585775755 in words is "five hundred fifty-seven trillion, five hundred seventy-seven billion, five hundred eighty-five million, seven hundred seventy-five thousand, seven hundred fifty-five".