198241178880 has 288 divisors, whose sum is σ = 664216277760. Its totient is φ = 50320506880.

The previous prime is 198241178867. The next prime is 198241178897. The reversal of 198241178880 is 88871142891.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 198241178880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7894024 + ... + 7919096.

It is an arithmetic number, because the mean of its divisors is an integer number (2306306520).

Almost surely, 2^198241178880 is an apocalyptic number.

198241178880 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 198241178880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332108138880).

198241178880 is an abundant number, since it is smaller than the sum of its proper divisors (465975098880).

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

198241178880 is a wasteful number, since it uses less digits than its factorization.

198241178880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25197 (or 25183 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 57.

The spelling of 198241178880 in words is "one hundred ninety-eight billion, two hundred forty-one million, one hundred seventy-eight thousand, eight hundred eighty".