557892298755 has 144 divisors (see below), whose sum is σ = 1085390953920. Its totient is φ = 264833648640.

The previous prime is 557892298703. The next prime is 557892298771.

It is a happy number.

557892298755 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 557892298755 - 2¹⁴ = 557892282371 is a prime.

It is a super-2 number, since 2×557892298755² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 49908727 + ... + 49919903.

It is an arithmetic number, because the mean of its divisors is an integer number (7537437180).

Almost surely, 2^557892298755 is an apocalyptic number.

557892298755 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

557892298755 is a deficient number, since it is larger than the sum of its proper divisors (527498655165).

557892298755 is a wasteful number, since it uses less digits than its factorization.

557892298755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11402 (or 11388 counting only the distinct ones).

The product of its digits is 635040000, while the sum is 72.

The spelling of 557892298755 in words is "five hundred fifty-seven billion, eight hundred ninety-two million, two hundred ninety-eight thousand, seven hundred fifty-five".