557165561755 has 8 divisors (see below), whose sum is σ = 729380371824. Its totient is φ = 405211317600.

The previous prime is 557165561749. The next prime is 557165561761.

557165561755 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (557165561749) and next prime (557165561761).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 557165561755 - 2²⁹ = 556628690843 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 557165561755.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5065141416 + ... + 5065141525.

It is an arithmetic number, because the mean of its divisors is an integer number (91172546478).

Almost surely, 2^557165561755 is an apocalyptic number.

557165561755 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

557165561755 is a deficient number, since it is larger than the sum of its proper divisors (172214810069).

557165561755 is a wasteful number, since it uses less digits than its factorization.

557165561755 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10130282957.

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

The spelling of 557165561755 in words is "five hundred fifty-seven billion, one hundred sixty-five million, five hundred sixty-one thousand, seven hundred fifty-five".