8872962331200 has 1008 divisors, whose sum is σ = 32794190537472. Its totient is φ = 2098128384000.

The previous prime is 8872962331187. The next prime is 8872962331201. The reversal of 8872962331200 is 21332692788.

It is not an unprimeable number, because it can be changed into a prime (8872962331201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4163754135 + ... + 4163756265.

It is an arithmetic number, because the mean of its divisors is an integer number (32533919184).

Almost surely, 2^{8872962331200} is an apocalyptic number.

8872962331200 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 8872962331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16397095268736).

8872962331200 is an abundant number, since it is smaller than the sum of its proper divisors (23921228206272).

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

8872962331200 is a wasteful number, since it uses less digits than its factorization.

8872962331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2352 (or 2326 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 8872962331200 in words is "eight trillion, eight hundred seventy-two billion, nine hundred sixty-two million, three hundred thirty-one thousand, two hundred".