557659497636864 has 1408 divisors, whose sum is σ = 2033198548254720. Its totient is φ = 147375812247552.

The previous prime is 557659497636853. The next prime is 557659497636919. The reversal of 557659497636864 is 468636794956755.

557659497636864 is a `hidden beast` number, since 5 + 5 + 7 + 6 + 5 + 9 + 497 + 6 + 36 + 86 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 44709325732 + ... + 44709338204.

It is an arithmetic number, because the mean of its divisors is an integer number (1444033059840).

Almost surely, 2^{557659497636864} is an apocalyptic number.

557659497636864 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557659497636864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016599274127360).

557659497636864 is an abundant number, since it is smaller than the sum of its proper divisors (1475539050617856).

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

557659497636864 is a wasteful number, since it uses less digits than its factorization.

557659497636864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12760 (or 12736 counting only the distinct ones).

The product of its digits is 246903552000, while the sum is 90.

The spelling of 557659497636864 in words is "five hundred fifty-seven trillion, six hundred fifty-nine billion, four hundred ninety-seven million, six hundred thirty-six thousand, eight hundred sixty-four".