8823079249920 has 1920 divisors, whose sum is σ = 36440525721600. Its totient is φ = 2022633897984.

The previous prime is 8823079249891. The next prime is 8823079249927. The reversal of 8823079249920 is 299429703288.

8823079249920 is a `hidden beast` number, since 8 + 8 + 2 + 30 + 7 + 92 + 499 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is not an unprimeable number, because it can be changed into a prime (8823079249927) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 23279892291 + ... + 23279892669.

It is an arithmetic number, because the mean of its divisors is an integer number (18979440480).

Almost surely, 2^{8823079249920} is an apocalyptic number.

8823079249920 is a gapful number since it is divisible by the number (80) 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 8823079249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18220262860800).

8823079249920 is an abundant number, since it is smaller than the sum of its proper divisors (27617446471680).

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

8823079249920 is a wasteful number, since it uses less digits than its factorization.

8823079249920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 8823079249920 in words is "eight trillion, eight hundred twenty-three billion, seventy-nine million, two hundred forty-nine thousand, nine hundred twenty".