9771239324160 has 480 divisors, whose sum is σ = 35029007442000. Its totient is φ = 2514265571328.

The previous prime is 9771239324153. The next prime is 9771239324177. The reversal of 9771239324160 is 614239321779.

9771239324160 is a `hidden beast` number, since 9 + 7 + 7 + 1 + 2 + 393 + 241 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 668129681664 + 9103109642496 = 817392^2 + 3017136^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 9771239324097 and 9771239324106.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1422509206 + ... + 1422516074.

Almost surely, 2^{9771239324160} is an apocalyptic number.

9771239324160 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 9771239324160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17514503721000).

9771239324160 is an abundant number, since it is smaller than the sum of its proper divisors (25257768117840).

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

9771239324160 is a wasteful number, since it uses less digits than its factorization.

9771239324160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9056 (or 9037 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 9771239324160 in words is "nine trillion, seven hundred seventy-one billion, two hundred thirty-nine million, three hundred twenty-four thousand, one hundred sixty".