559945052352 has 672 divisors, whose sum is σ = 1992056976000. Its totient is φ = 149795831808.

The previous prime is 559945052333. The next prime is 559945052371. The reversal of 559945052352 is 253250549955.

It is a happy number.

559945052352 is a `hidden beast` number, since 5 + 5 + 99 + 450 + 52 + 3 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (559945052333) and next prime (559945052371).

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 984085924 + ... + 984086492.

It is an arithmetic number, because the mean of its divisors is an integer number (2964370500).

Almost surely, 2^559945052352 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 559945052352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996028488000).

559945052352 is an abundant number, since it is smaller than the sum of its proper divisors (1432111923648).

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

559945052352 is a wasteful number, since it uses less digits than its factorization.

559945052352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 12150000, while the sum is 54.

The spelling of 559945052352 in words is "five hundred fifty-nine billion, nine hundred forty-five million, fifty-two thousand, three hundred fifty-two".