9848809928160 has 768 divisors, whose sum is σ = 41733754675200. Its totient is φ = 2117661622272.

The previous prime is 9848809928123. The next prime is 9848809928213. The reversal of 9848809928160 is 618299088489.

It is a happy number.

9848809928160 is a `hidden beast` number, since 9 + 8 + 488 + 0 + 9 + 9 + 2 + 81 + 60 = 666.

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 127 ways as a sum of consecutive naturals, for example, 1415258761 + ... + 1415265719.

It is an arithmetic number, because the mean of its divisors is an integer number (54340826400).

Almost surely, 2^{9848809928160} is an apocalyptic number.

9848809928160 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 9848809928160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20866877337600).

9848809928160 is an abundant number, since it is smaller than the sum of its proper divisors (31884944747040).

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

9848809928160 is a wasteful number, since it uses less digits than its factorization.

9848809928160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9760 (or 9746 counting only the distinct ones).

The product of its (nonzero) digits is 143327232, while the sum is 72.

The spelling of 9848809928160 in words is "nine trillion, eight hundred forty-eight billion, eight hundred nine million, nine hundred twenty-eight thousand, one hundred sixty".