5171567708160 has 1152 divisors, whose sum is σ = 21898790484480. Its totient is φ = 1102970880000.

The previous prime is 5171567708123. The next prime is 5171567708227. The reversal of 5171567708160 is 618077651715.

5171567708160 is a `hidden beast` number, since 5 + 1 + 7 + 1 + 567 + 70 + 8 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×5171567708160² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5171567708097 and 5171567708106.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 608343910 + ... + 608352410.

It is an arithmetic number, because the mean of its divisors is an integer number (19009366740).

Almost surely, 2^{5171567708160} 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 5171567708160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10949395242240).

5171567708160 is an abundant number, since it is smaller than the sum of its proper divisors (16727222776320).

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

5171567708160 is a wasteful number, since it uses less digits than its factorization.

5171567708160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8605 (or 8582 counting only the distinct ones).

The product of its (nonzero) digits is 2469600, while the sum is 54.

The spelling of 5171567708160 in words is "five trillion, one hundred seventy-one billion, five hundred sixty-seven million, seven hundred eight thousand, one hundred sixty".