5017674185216 has 720 divisors, whose sum is σ = 13232510565120. Its totient is φ = 1898549452800.

The previous prime is 5017674185213. The next prime is 5017674185281. The reversal of 5017674185216 is 6125814767105.

It is not an unprimeable number, because it can be changed into a prime (5017674185213) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 63514863065 + ... + 63514863143.

It is an arithmetic number, because the mean of its divisors is an integer number (18378486896).

Almost surely, 2^{5017674185216} is an apocalyptic number.

5017674185216 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 5017674185216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6616255282560).

5017674185216 is an abundant number, since it is smaller than the sum of its proper divisors (8214836379904).

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

5017674185216 is an frugal number, since it uses more digits than its factorization.

5017674185216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 53.

The spelling of 5017674185216 in words is "five trillion, seventeen billion, six hundred seventy-four million, one hundred eighty-five thousand, two hundred sixteen".