557084480755 has 32 divisors (see below), whose sum is σ = 733589176320. Its totient is φ = 402760356480.

The previous prime is 557084480723. The next prime is 557084480773.

557084480755 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 557084480755 - 2⁵ = 557084480723 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 557084480755.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8663854 + ... + 8727916.

It is an arithmetic number, because the mean of its divisors is an integer number (22924661760).

Almost surely, 2^557084480755 is an apocalyptic number.

557084480755 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

557084480755 is a deficient number, since it is larger than the sum of its proper divisors (176504695565).

557084480755 is a wasteful number, since it uses less digits than its factorization.

557084480755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65011.

The product of its (nonzero) digits is 31360000, while the sum is 58.

The spelling of 557084480755 in words is "five hundred fifty-seven billion, eighty-four million, four hundred eighty thousand, seven hundred fifty-five".