198055851106800 has 480 divisors, whose sum is σ = 674250245222400. Its totient is φ = 49613921280000.

The previous prime is 198055851106739. The next prime is 198055851106847. The reversal of 198055851106800 is 8601158550891.

It is a super-2 number, since 2×198055851106800² (a number of 29 digits) contains 22 as substring.

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, 303188530 + ... + 303841070.

It is an arithmetic number, because the mean of its divisors is an integer number (1404688010880).

Almost surely, 2^{198055851106800} is an apocalyptic number.

198055851106800 is a gapful number since it is divisible by the number (10) 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 198055851106800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337125122611200).

198055851106800 is an abundant number, since it is smaller than the sum of its proper divisors (476194394115600).

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

198055851106800 is a wasteful number, since it uses less digits than its factorization.

198055851106800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652833 (or 652822 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 57.

The spelling of 198055851106800 in words is "one hundred ninety-eight trillion, fifty-five billion, eight hundred fifty-one million, one hundred six thousand, eight hundred".