10808115832320 has 320 divisors, whose sum is σ = 35329188787200. Its totient is φ = 2818068185088.

The previous prime is 10808115832259. The next prime is 10808115832321. The reversal of 10808115832320 is 2323851180801.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10808115832321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61744281 + ... + 61919079.

It is an arithmetic number, because the mean of its divisors is an integer number (110403714960).

Almost surely, 2^{10808115832320} is an apocalyptic number.

10808115832320 is a gapful number since it is divisible by the number (10) 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 10808115832320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17664594393600).

10808115832320 is an abundant number, since it is smaller than the sum of its proper divisors (24521072954880).

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

10808115832320 is an equidigital number, since it uses as much as digits as its factorization.

10808115832320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175005 (or 174989 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The spelling of 10808115832320 in words is "ten trillion, eight hundred eight billion, one hundred fifteen million, eight hundred thirty-two thousand, three hundred twenty".