9982899617600 has 672 divisors, whose sum is σ = 30596575027200. Its totient is φ = 3121627299840.

The previous prime is 9982899617597. The next prime is 9982899617611. The reversal of 9982899617600 is 67169982899.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5122061426 + ... + 5122063374.

It is an arithmetic number, because the mean of its divisors is an integer number (45530617600).

Almost surely, 2^{9982899617600} 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 9982899617600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15298287513600).

9982899617600 is an abundant number, since it is smaller than the sum of its proper divisors (20613675409600).

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

9982899617600 is a wasteful number, since it uses less digits than its factorization.

9982899617600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2395 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 211631616, while the sum is 74.

The spelling of 9982899617600 in words is "nine trillion, nine hundred eighty-two billion, eight hundred ninety-nine million, six hundred seventeen thousand, six hundred".