5108079131200 has 168 divisors, whose sum is σ = 12753236131272. Its totient is φ = 2013474324480.

The previous prime is 5108079131191. The next prime is 5108079131209. The reversal of 5108079131200 is 21319708015.

It is an interprime number because it is at equal distance from previous prime (5108079131191) and next prime (5108079131209).

It can be written as a sum of positive squares in 12 ways, for example, as 3403759325184 + 1704319806016 = 1844928^2 + 1305496^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5108079131200.

It is not an unprimeable number, because it can be changed into a prime (5108079131209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36090972 + ... + 36232228.

It is an arithmetic number, because the mean of its divisors is an integer number (75912119829).

Almost surely, 2^{5108079131200} is an apocalyptic number.

5108079131200 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 5108079131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6376618065636).

5108079131200 is an abundant number, since it is smaller than the sum of its proper divisors (7645157000072).

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

5108079131200 is a wasteful number, since it uses less digits than its factorization.

5108079131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141609 (or 141594 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 37.

The spelling of 5108079131200 in words is "five trillion, one hundred eight billion, seventy-nine million, one hundred thirty-one thousand, two hundred".