5179989600 has 216 divisors, whose sum is σ = 18525033072. Its totient is φ = 1361740800.

The previous prime is 5179989557. The next prime is 5179989601. The reversal of 5179989600 is 69899715.

It is a super-2 number, since 2×5179989600² = 53664584512216320000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5179989601) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 506134 + ... + 516266.

It is an arithmetic number, because the mean of its divisors is an integer number (85764042).

Almost surely, 2^5179989600 is an apocalyptic number.

5179989600 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 5179989600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9262516536).

5179989600 is an abundant number, since it is smaller than the sum of its proper divisors (13345043472).

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

5179989600 is a wasteful number, since it uses less digits than its factorization.

5179989600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10230 (or 10214 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The square root of 5179989600 is about 71972.1446116482. The cubic root of 5179989600 is about 1730.2530731158.

The spelling of 5179989600 in words is "five billion, one hundred seventy-nine million, nine hundred eighty-nine thousand, six hundred".