9965102588896 has 192 divisors, whose sum is σ = 25810590145536. Its totient is φ = 3678864076800.

The previous prime is 9965102588699. The next prime is 9965102588941. The reversal of 9965102588896 is 6988852015699.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 931551 + ... + 4560481.

It is an arithmetic number, because the mean of its divisors is an integer number (134430157008).

Almost surely, 2^{9965102588896} 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 9965102588896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12905295072768).

9965102588896 is an abundant number, since it is smaller than the sum of its proper divisors (15845487556640).

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

9965102588896 is a wasteful number, since it uses less digits than its factorization.

9965102588896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3629025 (or 3629017 counting only the distinct ones).

The product of its (nonzero) digits is 671846400, while the sum is 76.

The spelling of 9965102588896 in words is "nine trillion, nine hundred sixty-five billion, one hundred two million, five hundred eighty-eight thousand, eight hundred ninety-six".