5079859200 has 576 divisors, whose sum is σ = 19966417380. Its totient is φ = 1226833920.

The previous prime is 5079859159. The next prime is 5079859201. The reversal of 5079859200 is 29589705.

It is a happy number.

5079859200 is a `hidden beast` number, since 50 + 7 + 9 + 8 + 592 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1445216256 + 3634642944 = 38016^2 + 60288^2 .

It is a tau number, because it is divible by the number of its divisors (576).

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 (5079859201) 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, 95846374 + ... + 95846426.

Almost surely, 2^5079859200 is an apocalyptic number.

5079859200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5079859200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9983208690).

5079859200 is an abundant number, since it is smaller than the sum of its proper divisors (14886558180).

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

5079859200 is a wasteful number, since it uses less digits than its factorization.

5079859200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 5079859200 is about 71273.1309821590. The cubic root of 5079859200 is about 1719.0317247063.

The spelling of 5079859200 in words is "five billion, seventy-nine million, eight hundred fifty-nine thousand, two hundred".