557985589755 has 48 divisors (see below), whose sum is σ = 1007839002912. Its totient is φ = 263226585600.

The previous prime is 557985589747. The next prime is 557985589757.

557985589755 is nontrivially palindromic in base 10.

557985589755 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 557985589755 - 2³ = 557985589747 is a prime.

It is a super-2 number, since 2×557985589755² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (557985589757) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4087306 + ... + 4221615.

It is an arithmetic number, because the mean of its divisors is an integer number (20996645894).

Almost surely, 2^557985589755 is an apocalyptic number.

557985589755 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

557985589755 is a deficient number, since it is larger than the sum of its proper divisors (449853413157).

557985589755 is a wasteful number, since it uses less digits than its factorization.

557985589755 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8308988 (or 8308977 counting only the distinct ones).

The product of its digits is 3969000000, while the sum is 78.

The spelling of 557985589755 in words is "five hundred fifty-seven billion, nine hundred eighty-five million, five hundred eighty-nine thousand, seven hundred fifty-five".