8168973896160 has 3456 divisors, whose sum is σ = 38262552007680. Its totient is φ = 1549836288000.

The previous prime is 8168973896159. The next prime is 8168973896221. The reversal of 8168973896160 is 616983798618.

8168973896160 is a `hidden beast` number, since 8 + 1 + 6 + 89 + 7 + 389 + 6 + 160 = 666.

It is a super-2 number, since 2×8168973896160² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 62358579295 + ... + 62358579425.

It is an arithmetic number, because the mean of its divisors is an integer number (11071340280).

Almost surely, 2^{8168973896160} is an apocalyptic number.

8168973896160 is a gapful number since it is divisible by the number (80) 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 8168973896160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19131276003840).

8168973896160 is an abundant number, since it is smaller than the sum of its proper divisors (30093578111520).

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

8168973896160 is a wasteful number, since it uses less digits than its factorization.

8168973896160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 72.

The spelling of 8168973896160 in words is "eight trillion, one hundred sixty-eight billion, nine hundred seventy-three million, eight hundred ninety-six thousand, one hundred sixty".