5117335673360 has 160 divisors (see below), whose sum is σ = 12066941952000. Its totient is φ = 2018065674240.

The previous prime is 5117335673357. The next prime is 5117335673369. The reversal of 5117335673360 is 633765337115.

It is a super-2 number, since 2×5117335673360² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5117335673299 and 5117335673308.

It is not an unprimeable number, because it can be changed into a prime (5117335673369) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2994344186 + ... + 2994345894.

It is an arithmetic number, because the mean of its divisors is an integer number (75418387200).

Almost surely, 2^{5117335673360} 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 5117335673360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6033470976000).

5117335673360 is an abundant number, since it is smaller than the sum of its proper divisors (6949606278640).

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

5117335673360 is a wasteful number, since it uses less digits than its factorization.

5117335673360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3529 (or 3523 counting only the distinct ones).

The product of its (nonzero) digits is 3572100, while the sum is 50.

The spelling of 5117335673360 in words is "five trillion, one hundred seventeen billion, three hundred thirty-five million, six hundred seventy-three thousand, three hundred sixty".