9829081082160 has 80 divisors (see below), whose sum is σ = 33855723734880. Its totient is φ = 2621088288000.

The previous prime is 9829081082141. The next prime is 9829081082189. The reversal of 9829081082160 is 612801809289.

9829081082160 is a `hidden beast` number, since 98 + 290 + 8 + 108 + 2 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×9829081082160² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 9829081082097 and 9829081082106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2275248091 + ... + 2275252410.

It is an arithmetic number, because the mean of its divisors is an integer number (423196546686).

Almost surely, 2^{9829081082160} is an apocalyptic number.

9829081082160 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9829081082160 is an abundant number, since it is smaller than the sum of its proper divisors (24026642652720).

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

9829081082160 is a wasteful number, since it uses less digits than its factorization.

9829081082160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4550500523 (or 4550500511 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 9829081082160 in words is "nine trillion, eight hundred twenty-nine billion, eighty-one million, eighty-two thousand, one hundred sixty".