557557755755 has 64 divisors (see below), whose sum is σ = 902892469248. Its totient is φ = 319203279360.

The previous prime is 557557755661. The next prime is 557557755757.

557557755755 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 557557755755 - 2²⁸ = 557289320299 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (557557755757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 703244 + ... + 1268726.

It is an arithmetic number, because the mean of its divisors is an integer number (14107694832).

Almost surely, 2^557557755755 is an apocalyptic number.

557557755755 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

557557755755 is a deficient number, since it is larger than the sum of its proper divisors (345334713493).

557557755755 is a wasteful number, since it uses less digits than its factorization.

557557755755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565716.

The product of its digits is 937890625, while the sum is 68.

The spelling of 557557755755 in words is "five hundred fifty-seven billion, five hundred fifty-seven million, seven hundred fifty-five thousand, seven hundred fifty-five".