517716866160 has 960 divisors, whose sum is σ = 1970592624000. Its totient is φ = 120989417472.

The previous prime is 517716866111. The next prime is 517716866189. The reversal of 517716866160 is 61668617715.

517716866160 is a `hidden beast` number, since 5 + 1 + 7 + 7 + 16 + 8 + 6 + 616 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 517716866097 and 517716866106.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 3474609766 + ... + 3474609914.

It is an arithmetic number, because the mean of its divisors is an integer number (2052700650).

Almost surely, 2^517716866160 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 517716866160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985296312000).

517716866160 is an abundant number, since it is smaller than the sum of its proper divisors (1452875757840).

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

517716866160 is a wasteful number, since it uses less digits than its factorization.

517716866160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 517716866160 in words is "five hundred seventeen billion, seven hundred sixteen million, eight hundred sixty-six thousand, one hundred sixty".