9898592804800 has 336 divisors, whose sum is σ = 28533406870080. Its totient is φ = 3308912640000.

The previous prime is 9898592804783. The next prime is 9898592804819. The reversal of 9898592804800 is 84082958989.

It is a Smith number, since the sum of its digits (70) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a self number, because there is not a number n which added to its sum of digits gives 9898592804800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 827013216 + ... + 827025184.

It is an arithmetic number, because the mean of its divisors is an integer number (84920853780).

Almost surely, 2^{9898592804800} 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 9898592804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14266703435040).

9898592804800 is an abundant number, since it is smaller than the sum of its proper divisors (18634814065280).

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

9898592804800 is a wasteful number, since it uses less digits than its factorization.

9898592804800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13840 (or 13825 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 70.

The spelling of 9898592804800 in words is "nine trillion, eight hundred ninety-eight billion, five hundred ninety-two million, eight hundred four thousand, eight hundred".