8088884088320 has 320 divisors, whose sum is σ = 22268271168000. Its totient is φ = 2760442675200.

The previous prime is 8088884088293. The next prime is 8088884088323. The reversal of 8088884088320 is 238804888808.

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 (8088884088323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4760966831 + ... + 4760968529.

It is an arithmetic number, because the mean of its divisors is an integer number (69588347400).

Almost surely, 2^{8088884088320} is an apocalyptic number.

8088884088320 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 8088884088320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11134135584000).

8088884088320 is an abundant number, since it is smaller than the sum of its proper divisors (14179387079680).

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

8088884088320 is a wasteful number, since it uses less digits than its factorization.

8088884088320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2809 (or 2793 counting only the distinct ones).

The product of its (nonzero) digits is 50331648, while the sum is 65.

The spelling of 8088884088320 in words is "eight trillion, eighty-eight billion, eight hundred eighty-four million, eighty-eight thousand, three hundred twenty".