5959264320 has 336 divisors, whose sum is σ = 22081662720. Its totient is φ = 1469595648.

The previous prime is 5959264319. The next prime is 5959264321. The reversal of 5959264320 is 234629595.

5959264320 is a `hidden beast` number, since 59 + 592 + 6 + 4 + 3 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5959264319) and next prime (5959264321).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5959264321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2887609 + ... + 2889671.

Almost surely, 2^5959264320 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 5959264320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11040831360).

5959264320 is an abundant number, since it is smaller than the sum of its proper divisors (16122398400).

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

5959264320 is a wasteful number, since it uses less digits than its factorization.

5959264320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2162 (or 2149 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 5959264320 is about 77196.2714125495. The cubic root of 5959264320 is about 1812.9989375210.

The spelling of 5959264320 in words is "five billion, nine hundred fifty-nine million, two hundred sixty-four thousand, three hundred twenty".