8956990884800 has 504 divisors, whose sum is σ = 25868285145216. Its totient is φ = 2990195066880.

The previous prime is 8956990884799. The next prime is 8956990884811. The reversal of 8956990884800 is 84880996598.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 10830701987 + ... + 10830702813.

Almost surely, 2^{8956990884800} is an apocalyptic number.

8956990884800 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 8956990884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12934142572608).

8956990884800 is an abundant number, since it is smaller than the sum of its proper divisors (16911294260416).

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

8956990884800 is a wasteful number, since it uses less digits than its factorization.

8956990884800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 74.

The spelling of 8956990884800 in words is "eight trillion, nine hundred fifty-six billion, nine hundred ninety million, eight hundred eighty-four thousand, eight hundred".