5179984128 has 288 divisors, whose sum is σ = 16844849280. Its totient is φ = 1557135360.

The previous prime is 5179984109. The next prime is 5179984171. The reversal of 5179984128 is 8214899715.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14674000 + ... + 14674352.

It is an arithmetic number, because the mean of its divisors is an integer number (58489060).

Almost surely, 2^5179984128 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 5179984128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8422424640).

5179984128 is an abundant number, since it is smaller than the sum of its proper divisors (11664865152).

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

5179984128 is a wasteful number, since it uses less digits than its factorization.

5179984128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 562 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 54.

The square root of 5179984128 is about 71972.1065969310. The cubic root of 5179984128 is about 1730.2524638515.

The spelling of 5179984128 in words is "five billion, one hundred seventy-nine million, nine hundred eighty-four thousand, one hundred twenty-eight".