559445331903696 has 240 divisors, whose sum is σ = 1826395994841600. Its totient is φ = 159794087281920.

The previous prime is 559445331903683. The next prime is 559445331903793. The reversal of 559445331903696 is 696309133544955.

559445331903696 is a `hidden beast` number, since 5 + 5 + 9 + 4 + 45 + 33 + 190 + 369 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164920201 + ... + 168278231.

It is an arithmetic number, because the mean of its divisors is an integer number (7609983311840).

Almost surely, 2^{559445331903696} is an apocalyptic number.

559445331903696 is a gapful number since it is divisible by the number (56) 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 559445331903696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913197997420800).

559445331903696 is an abundant number, since it is smaller than the sum of its proper divisors (1266950662937904).

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

559445331903696 is a wasteful number, since it uses less digits than its factorization.

559445331903696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3361439 (or 3361416 counting only the distinct ones).

The product of its (nonzero) digits is 1417176000, while the sum is 72.

The spelling of 559445331903696 in words is "five hundred fifty-nine trillion, four hundred forty-five billion, three hundred thirty-one million, nine hundred three thousand, six hundred ninety-six".