559849864320 has 640 divisors, whose sum is σ = 2132844222960. Its totient is φ = 139455627264.

The previous prime is 559849864291. The next prime is 559849864349. The reversal of 559849864320 is 23468948955.

559849864320 is a `hidden beast` number, since 5 + 59 + 8 + 498 + 64 + 32 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (559849864291) and next prime (559849864349).

It can be written as a sum of positive squares in 8 ways, for example, as 274668231744 + 285181632576 = 524088^2 + 534024^2 .

It is a tau number, because it is divible by the number of its divisors (640).

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 79 ways as a sum of consecutive naturals, for example, 120733042 + ... + 120737678.

Almost surely, 2^559849864320 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 559849864320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066422111480).

559849864320 is an abundant number, since it is smaller than the sum of its proper divisors (1572994358640).

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

559849864320 is a wasteful number, since it uses less digits than its factorization.

559849864320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4822 (or 4801 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 559849864320 in words is "five hundred fifty-nine billion, eight hundred forty-nine million, eight hundred sixty-four thousand, three hundred twenty".