8788336972800 has 4224 divisors, whose sum is σ = 41685949071360. Its totient is φ = 1575537868800.

The previous prime is 8788336972777. The next prime is 8788336972801. The reversal of 8788336972800 is 82796338878.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8788336972801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 82133990347 + ... + 82133990453.

It is an arithmetic number, because the mean of its divisors is an integer number (9868832640).

Almost surely, 2^{8788336972800} is an apocalyptic number.

8788336972800 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 8788336972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20842974535680).

8788336972800 is an abundant number, since it is smaller than the sum of its proper divisors (32897612098560).

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

8788336972800 is a wasteful number, since it uses less digits than its factorization.

8788336972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 69.

The spelling of 8788336972800 in words is "eight trillion, seven hundred eighty-eight billion, three hundred thirty-six million, nine hundred seventy-two thousand, eight hundred".