5079631200 has 288 divisors, whose sum is σ = 19042781184. Its totient is φ = 1152061440.

The previous prime is 5079631177. The next prime is 5079631211. The reversal of 5079631200 is 21369705.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2300497 + ... + 2302703.

It is an arithmetic number, because the mean of its divisors is an integer number (66120768).

Almost surely, 2^5079631200 is an apocalyptic number.

5079631200 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 5079631200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9521390592).

5079631200 is an abundant number, since it is smaller than the sum of its proper divisors (13963149984).

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

5079631200 is a wasteful number, since it uses less digits than its factorization.

5079631200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2374 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 5079631200 is about 71271.5314834752. The cubic root of 5079631200 is about 1719.0060058112.

The spelling of 5079631200 in words is "five billion, seventy-nine million, six hundred thirty-one thousand, two hundred".