8959041872100 has 216 divisors, whose sum is σ = 28195892291840. Its totient is φ = 2379362688000.

The previous prime is 8959041872029. The next prime is 8959041872141. The reversal of 8959041872100 is 12781409598.

It is a happy number.

8959041872100 is a `hidden beast` number, since 8 + 9 + 5 + 9 + 0 + 418 + 7 + 210 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 868034940 + ... + 868045260.

Almost surely, 2^{8959041872100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8959041872100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14097946145920).

8959041872100 is an abundant number, since it is smaller than the sum of its proper divisors (19236850419740).

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

8959041872100 is a wasteful number, since it uses less digits than its factorization.

8959041872100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14171 (or 14161 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 8959041872100 in words is "eight trillion, nine hundred fifty-nine billion, forty-one million, eight hundred seventy-two thousand, one hundred".