559306952064 has 768 divisors, whose sum is σ = 2005370265600. Its totient is φ = 146127421440.

The previous prime is 559306952053. The next prime is 559306952077. The reversal of 559306952064 is 460259603955.

It is a happy number.

559306952064 is a `hidden beast` number, since 5 + 59 + 3 + 0 + 6 + 9 + 520 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 559306952064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 511716702 + ... + 511717794.

It is an arithmetic number, because the mean of its divisors is an integer number (2611159200).

Almost surely, 2^559306952064 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 559306952064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002685132800).

559306952064 is an abundant number, since it is smaller than the sum of its proper divisors (1446063313536).

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

559306952064 is a wasteful number, since it uses less digits than its factorization.

559306952064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 8748000, while the sum is 54.

The spelling of 559306952064 in words is "five hundred fifty-nine billion, three hundred six million, nine hundred fifty-two thousand, sixty-four".