5139624960 has 484 divisors, whose sum is σ = 19581364548. Its totient is φ = 1289945088.

The previous prime is 5139624953. The next prime is 5139624983. The reversal of 5139624960 is 694269315.

5139624960 is a `hidden beast` number, since 5 + 13 + 9 + 624 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2962842624 + 2176782336 = 54432^2 + 46656^2 .

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

It is a nialpdrome in base 6 and base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 302330872 + ... + 302330888.

Almost surely, 2^5139624960 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 5139624960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9790682274).

5139624960 is an abundant number, since it is smaller than the sum of its proper divisors (14441739588).

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

5139624960 is an frugal number, since it uses more digits than its factorization.

5139624960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 5139624960 is about 71691.1776999095. The cubic root of 5139624960 is about 1725.7470639381.

The spelling of 5139624960 in words is "five billion, one hundred thirty-nine million, six hundred twenty-four thousand, nine hundred sixty".