559562457968640 has 4576 divisors, whose sum is σ = 2507332987008000. Its totient is φ = 119461814599680.

The previous prime is 559562457968597. The next prime is 559562457968681. The reversal of 559562457968640 is 46869754265955.

559562457968640 is a `hidden beast` number, since 5 + 5 + 9 + 5 + 62 + 457 + 9 + 68 + 6 + 40 = 666.

It is a super-2 number, since 2×559562457968640² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 559562457968640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 351 ways as a sum of consecutive naturals, for example, 7881161379805 + ... + 7881161379875.

Almost surely, 2^{559562457968640} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 559562457968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253666493504000).

559562457968640 is an abundant number, since it is smaller than the sum of its proper divisors (1947770529039360).

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

559562457968640 is an frugal number, since it uses more digits than its factorization.

559562457968640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 19595520000, while the sum is 81.

The spelling of 559562457968640 in words is "five hundred fifty-nine trillion, five hundred sixty-two billion, four hundred fifty-seven million, nine hundred sixty-eight thousand, six hundred forty".