5108615972096 has 576 divisors, whose sum is σ = 13763415085056. Its totient is φ = 1836499599360.

The previous prime is 5108615971993. The next prime is 5108615972111. The reversal of 5108615972096 is 6902795168015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11798189096 + ... + 11798189528.

It is an arithmetic number, because the mean of its divisors is an integer number (23894817856).

Almost surely, 2^{5108615972096} is an apocalyptic number.

5108615972096 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 5108615972096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6881707542528).

5108615972096 is an abundant number, since it is smaller than the sum of its proper divisors (8654799112960).

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

5108615972096 is an equidigital number, since it uses as much as digits as its factorization.

5108615972096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 59.

The spelling of 5108615972096 in words is "five trillion, one hundred eight billion, six hundred fifteen million, nine hundred seventy-two thousand, ninety-six".