5005017171024 has 160 divisors (see below), whose sum is σ = 14306717644800. Its totient is φ = 1497736728576.

The previous prime is 5005017170983. The next prime is 5005017171043. The reversal of 5005017171024 is 4201717105005.

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, 54834577 + ... + 54925775.

It is an arithmetic number, because the mean of its divisors is an integer number (89416985280).

Almost surely, 2^{5005017171024} 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 5005017171024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7153358822400).

5005017171024 is an abundant number, since it is smaller than the sum of its proper divisors (9301700473776).

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

5005017171024 is a wasteful number, since it uses less digits than its factorization.

5005017171024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93637 (or 93631 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 33.

The spelling of 5005017171024 in words is "five trillion, five billion, seventeen million, one hundred seventy-one thousand, twenty-four".