557561165755 has 32 divisors (see below), whose sum is σ = 760831315200. Its totient is φ = 388527484800.

The previous prime is 557561165729. The next prime is 557561165771.

557561165755 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 557561165755 - 2⁵ = 557561165723 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 557561165755.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1125285 + ... + 1543174.

It is an arithmetic number, because the mean of its divisors is an integer number (23775978600).

Almost surely, 2^557561165755 is an apocalyptic number.

557561165755 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

557561165755 is a deficient number, since it is larger than the sum of its proper divisors (203270149445).

557561165755 is a wasteful number, since it uses less digits than its factorization.

557561165755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2668635.

The product of its digits is 27562500, while the sum is 58.

The spelling of 557561165755 in words is "five hundred fifty-seven billion, five hundred sixty-one million, one hundred sixty-five thousand, seven hundred fifty-five".