5104817259136 has 256 divisors, whose sum is σ = 11938582656000. Its totient is φ = 2173299932160.

The previous prime is 5104817259133. The next prime is 5104817259167. The reversal of 5104817259136 is 6319527184015.

It is not an unprimeable number, because it can be changed into a prime (5104817259133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6294472171 + ... + 6294472981.

It is an arithmetic number, because the mean of its divisors is an integer number (46635088500).

It is a 2-persistent number, because it is pandigital, and so is 2⋅5104817259136 = 10209634518272, but 3⋅5104817259136 = 15314451777408 is not.

Almost surely, 2^{5104817259136} is an apocalyptic number.

5104817259136 is a gapful number since it is divisible by the number (56) 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 5104817259136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5969291328000).

5104817259136 is an abundant number, since it is smaller than the sum of its proper divisors (6833765396864).

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

5104817259136 is an equidigital number, since it uses as much as digits as its factorization.

5104817259136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1620 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 52.

The spelling of 5104817259136 in words is "five trillion, one hundred four billion, eight hundred seventeen million, two hundred fifty-nine thousand, one hundred thirty-six".