5108079414800 has 480 divisors, whose sum is σ = 13351039228800. Its totient is φ = 1874589696000.

The previous prime is 5108079414743. The next prime is 5108079414847. The reversal of 5108079414800 is 84149708015.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2183872031 + ... + 2183874369.

It is an arithmetic number, because the mean of its divisors is an integer number (27814665060).

Almost surely, 2^{5108079414800} is an apocalyptic number.

5108079414800 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 5108079414800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6675519614400).

5108079414800 is an abundant number, since it is smaller than the sum of its proper divisors (8242959814000).

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

5108079414800 is a wasteful number, since it uses less digits than its factorization.

5108079414800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2555 (or 2544 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 47.

The spelling of 5108079414800 in words is "five trillion, one hundred eight billion, seventy-nine million, four hundred fourteen thousand, eight hundred".