9998409517200 has 480 divisors, whose sum is σ = 38682617904000. Its totient is φ = 2438141921280.

The previous prime is 9998409517177. The next prime is 9998409517223. The reversal of 9998409517200 is 27159048999.

9998409517200 is a `hidden beast` number, since 9 + 9 + 9 + 8 + 409 + 5 + 17 + 200 = 666.

9998409517200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9998409517177) and next prime (9998409517223).

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, 14690026 + ... + 15355574.

It is an arithmetic number, because the mean of its divisors is an integer number (80588787300).

Almost surely, 2^{9998409517200} is an apocalyptic number.

9998409517200 is a gapful number since it is divisible by the number (90) 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 9998409517200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19341308952000).

9998409517200 is an abundant number, since it is smaller than the sum of its proper divisors (28684208386800).

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

9998409517200 is a wasteful number, since it uses less digits than its factorization.

9998409517200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665696 (or 665679 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 63.

The spelling of 9998409517200 in words is "nine trillion, nine hundred ninety-eight billion, four hundred nine million, five hundred seventeen thousand, two hundred".