5082716100096 has 320 divisors, whose sum is σ = 15625575345600. Its totient is φ = 1629911973888.

The previous prime is 5082716100061. The next prime is 5082716100107. The reversal of 5082716100096 is 6900016172805.

5082716100096 is a `hidden beast` number, since 5 + 0 + 8 + 27 + 1 + 610 + 0 + 0 + 9 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45466606 + ... + 45578258.

It is an arithmetic number, because the mean of its divisors is an integer number (48829922955).

Almost surely, 2^{5082716100096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5082716100096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7812787672800).

5082716100096 is an abundant number, since it is smaller than the sum of its proper divisors (10542859245504).

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

5082716100096 is a wasteful number, since it uses less digits than its factorization.

5082716100096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111806 (or 111784 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 5082716100096 in words is "five trillion, eighty-two billion, seven hundred sixteen million, one hundred thousand, ninety-six".