9931397160960 has 1792 divisors, whose sum is σ = 39848908262400. Its totient is φ = 2326265856000.

The previous prime is 9931397160947. The next prime is 9931397160961. The reversal of 9931397160960 is 690617931399.

9931397160960 is a `hidden beast` number, since 9 + 9 + 3 + 13 + 9 + 7 + 1 + 609 + 6 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9931397160961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 72491950012 + ... + 72491950148.

Almost surely, 2^{9931397160960} is an apocalyptic number.

9931397160960 is a gapful number since it is divisible by the number (90) 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 9931397160960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19924454131200).

9931397160960 is an abundant number, since it is smaller than the sum of its proper divisors (29917511101440).

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

9931397160960 is a wasteful number, since it uses less digits than its factorization.

9931397160960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 14880348, while the sum is 63.

The spelling of 9931397160960 in words is "nine trillion, nine hundred thirty-one billion, three hundred ninety-seven million, one hundred sixty thousand, nine hundred sixty".