8004353788800 has 288 divisors, whose sum is σ = 28663039510560. Its totient is φ = 2126896128000.

The previous prime is 8004353788763. The next prime is 8004353788801. The reversal of 8004353788800 is 88873534008.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8004353788801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7598265 + ... + 8587335.

It is an arithmetic number, because the mean of its divisors is an integer number (99524442745).

Almost surely, 2^{8004353788800} is an apocalyptic number.

8004353788800 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 8004353788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14331519755280).

8004353788800 is an abundant number, since it is smaller than the sum of its proper divisors (20658685721760).

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

8004353788800 is a wasteful number, since it uses less digits than its factorization.

8004353788800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989382 (or 989362 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 8004353788800 in words is "eight trillion, four billion, three hundred fifty-three million, seven hundred eighty-eight thousand, eight hundred".