9909033160320 has 1280 divisors, whose sum is σ = 41040495175680. Its totient is φ = 2240876482560.

The previous prime is 9909033160319. The next prime is 9909033160339. The reversal of 9909033160320 is 230613309099.

9909033160320 is a `hidden beast` number, since 9 + 9 + 0 + 9 + 0 + 3 + 31 + 603 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9082522975 + ... + 9082524065.

It is an arithmetic number, because the mean of its divisors is an integer number (32062886856).

Almost surely, 2^{9909033160320} is an apocalyptic number.

9909033160320 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 9909033160320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20520247587840).

9909033160320 is an abundant number, since it is smaller than the sum of its proper divisors (31131462015360).

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

9909033160320 is an equidigital number, since it uses as much as digits as its factorization.

9909033160320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 236196, while the sum is 45.

The spelling of 9909033160320 in words is "nine trillion, nine hundred nine billion, thirty-three million, one hundred sixty thousand, three hundred twenty".