9959589864 has 144 divisors (see below), whose sum is σ = 31416992100. Its totient is φ = 2842043904.

The previous prime is 9959589863. The next prime is 9959589929. The reversal of 9959589864 is 4689859599.

It can be written as a sum of positive squares in 2 ways, for example, as 8969984100 + 989605764 = 94710^2 + 31458^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 9959589792 and 9959589801.

It is not an unprimeable number, because it can be changed into a prime (9959589863) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4334764 + ... + 4337060.

Almost surely, 2^9959589864 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 9959589864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15708496050).

9959589864 is an abundant number, since it is smaller than the sum of its proper divisors (21457402236).

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

9959589864 is a wasteful number, since it uses less digits than its factorization.

With its successor (9959589865) it forms an eRAP, since the sums of their prime factors are consecutive (3552 and 3553).

9959589864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3552 (or 3538 counting only the distinct ones).

The product of its digits is 251942400, while the sum is 72.

The square root of 9959589864 is about 99797.7447841383. The cubic root of 9959589864 is about 2151.5287388861.

The spelling of 9959589864 in words is "nine billion, nine hundred fifty-nine million, five hundred eighty-nine thousand, eight hundred sixty-four".