9960071708160 has 240 divisors, whose sum is σ = 39422320176096. Its totient is φ = 2276587782144.

The previous prime is 9960071708149. The next prime is 9960071708177. The reversal of 9960071708160 is 618071700699.

9960071708160 is a `hidden beast` number, since 9 + 9 + 600 + 7 + 17 + 0 + 8 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 9960071708097 and 9960071708106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30716919 + ... + 31039478.

Almost surely, 2^{9960071708160} is an apocalyptic number.

9960071708160 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9960071708160 is an abundant number, since it is smaller than the sum of its proper divisors (29462248467936).

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

9960071708160 is a wasteful number, since it uses less digits than its factorization.

9960071708160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61756433 (or 61756414 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The spelling of 9960071708160 in words is "nine trillion, nine hundred sixty billion, seventy-one million, seven hundred eight thousand, one hundred sixty".