5079522508800 has 768 divisors, whose sum is σ = 17638188464640. Its totient is φ = 1288175616000.

The previous prime is 5079522508787. The next prime is 5079522508817. The reversal of 5079522508800 is 88052259705.

It is a tau number, because it is divible by the number of its divisors (768).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4647321054 + ... + 4647322146.

It is an arithmetic number, because the mean of its divisors is an integer number (22966391230).

Almost surely, 2^{5079522508800} is an apocalyptic number.

5079522508800 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 5079522508800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8819094232320).

5079522508800 is an abundant number, since it is smaller than the sum of its proper divisors (12558665955840).

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

5079522508800 is a wasteful number, since it uses less digits than its factorization.

5079522508800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 51.

The spelling of 5079522508800 in words is "five trillion, seventy-nine billion, five hundred twenty-two million, five hundred eight thousand, eight hundred".