5170160755200 has 1440 divisors, whose sum is σ = 20679644418048. Its totient is φ = 1134120960000.

The previous prime is 5170160755141. The next prime is 5170160755261. The reversal of 5170160755200 is 25570610715.

It is a super-2 number, since 2×5170160755200² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8807769307 + ... + 8807769893.

Almost surely, 2^{5170160755200} is an apocalyptic number.

5170160755200 is a gapful number since it is divisible by the number (50) 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 5170160755200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10339822209024).

5170160755200 is an abundant number, since it is smaller than the sum of its proper divisors (15509483662848).

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

5170160755200 is a wasteful number, since it uses less digits than its factorization.

5170160755200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 73500, while the sum is 39.

The spelling of 5170160755200 in words is "five trillion, one hundred seventy billion, one hundred sixty million, seven hundred fifty-five thousand, two hundred".