5116800000000 has 1008 divisors, whose sum is σ = 18814841929296. Its totient is φ = 1228800000000.

The previous prime is 5116799999999. The next prime is 5116800000079. The reversal of 5116800000000 is 86115.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 124799999980 + ... + 124800000020.

It is an arithmetic number, because the mean of its divisors is an integer number (18665517787).

Almost surely, 2^{5116800000000} is an apocalyptic number.

5116800000000 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 5116800000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9407420964648).

5116800000000 is an abundant number, since it is smaller than the sum of its proper divisors (13698041929296).

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

5116800000000 is an frugal number, since it uses more digits than its factorization.

5116800000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

Adding to 5116800000000 its reverse (86115), we get a palindrome (5116800086115).

The spelling of 5116800000000 in words is "five trillion, one hundred sixteen billion, eight hundred million", and thus it is an aban number.