9998208901800 has 2688 divisors, whose sum is σ = 45106784409600. Its totient is φ = 2006581248000.

The previous prime is 9998208901799. The next prime is 9998208901819. The reversal of 9998208901800 is 81098028999.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 15597829480 + ... + 15597830120.

Almost surely, 2^{9998208901800} is an apocalyptic number.

9998208901800 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 9998208901800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22553392204800).

9998208901800 is an abundant number, since it is smaller than the sum of its proper divisors (35108575507800).

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

9998208901800 is a wasteful number, since it uses less digits than its factorization.

9998208901800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 63.

The spelling of 9998208901800 in words is "nine trillion, nine hundred ninety-eight billion, two hundred eight million, nine hundred one thousand, eight hundred".