557551361664 has 192 divisors, whose sum is σ = 1815093614880. Its totient is φ = 168954854400.

The previous prime is 557551361641. The next prime is 557551361699. The reversal of 557551361664 is 466163155755.

557551361664 is a `hidden beast` number, since 5 + 5 + 7 + 5 + 5 + 13 + 616 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 557551361664.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 472647 + ... + 1156934.

Almost surely, 2^557551361664 is an apocalyptic number.

557551361664 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

557551361664 is an abundant number, since it is smaller than the sum of its proper divisors (1257542253216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

557551361664 is a wasteful number, since it uses less digits than its factorization.

557551361664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629621 (or 1629597 counting only the distinct ones).

The product of its digits is 11340000, while the sum is 54.

The spelling of 557551361664 in words is "five hundred fifty-seven billion, five hundred fifty-one million, three hundred sixty-one thousand, six hundred sixty-four".