5182417000320 has 512 divisors, whose sum is σ = 19151215534080. Its totient is φ = 1167527682048.

The previous prime is 5182417000261. The next prime is 5182417000333. The reversal of 5182417000320 is 230007142815.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 494170117 + ... + 494180603.

It is an arithmetic number, because the mean of its divisors is an integer number (37404717840).

Almost surely, 2^{5182417000320} 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 5182417000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9575607767040).

5182417000320 is an abundant number, since it is smaller than the sum of its proper divisors (13968798533760).

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

5182417000320 is a wasteful number, since it uses less digits than its factorization.

5182417000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11042 (or 11030 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 5182417000320 in words is "five trillion, one hundred eighty-two billion, four hundred seventeen million, three hundred twenty", and thus it is an aban number.