559644261696 has 560 divisors, whose sum is σ = 1897222851216. Its totient is φ = 161593491456.

The previous prime is 559644261691. The next prime is 559644261697. The reversal of 559644261696 is 696162446955.

559644261696 is a `hidden beast` number, since 5 + 5 + 9 + 6 + 4 + 4 + 2 + 616 + 9 + 6 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5715360000 + 553928901696 = 75600^2 + 744264^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (559644261691) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 638134410 + ... + 638135286.

Almost surely, 2^559644261696 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 559644261696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948611425608).

559644261696 is an abundant number, since it is smaller than the sum of its proper divisors (1337578589520).

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

559644261696 is a wasteful number, since it uses less digits than its factorization.

559644261696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 1469 counting only the distinct ones).

The product of its digits is 83980800, while the sum is 63.

The spelling of 559644261696 in words is "five hundred fifty-nine billion, six hundred forty-four million, two hundred sixty-one thousand, six hundred ninety-six".