5005596960 has 1152 divisors, whose sum is σ = 23455837440. Its totient is φ = 984711168.

The previous prime is 5005596917. The next prime is 5005596989. The reversal of 5005596960 is 696955005.

5005596960 is a `hidden beast` number, since 5 + 0 + 0 + 559 + 6 + 96 + 0 = 666.

It is a super-2 number, since 2×5005596960² = 50112001851922483200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 46781227 + ... + 46781333.

It is an arithmetic number, because the mean of its divisors is an integer number (20360970).

Almost surely, 2^5005596960 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 5005596960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11727918720).

5005596960 is an abundant number, since it is smaller than the sum of its proper divisors (18450240480).

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

5005596960 is a wasteful number, since it uses less digits than its factorization.

5005596960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 364500, while the sum is 45.

The square root of 5005596960 is about 70750.2435331498. The cubic root of 5005596960 is about 1710.6137532157.

The spelling of 5005596960 in words is "five billion, five million, five hundred ninety-six thousand, nine hundred sixty".