557505505755 has 192 divisors, whose sum is σ = 1152534389760. Its totient is φ = 253526630400.

The previous prime is 557505505729. The next prime is 557505505787.

557505505755 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 557505505755 - 2¹⁷ = 557505374683 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 133468227 + ... + 133472403.

It is an arithmetic number, because the mean of its divisors is an integer number (6002783280).

Almost surely, 2^557505505755 is an apocalyptic number.

557505505755 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

557505505755 is an abundant number, since it is smaller than the sum of its proper divisors (595028884005).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

557505505755 is a wasteful number, since it uses less digits than its factorization.

557505505755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4547 (or 4524 counting only the distinct ones).

The product of its (nonzero) digits is 19140625, while the sum is 54.

The spelling of 557505505755 in words is "five hundred fifty-seven billion, five hundred five million, five hundred five thousand, seven hundred fifty-five".