198342605260800 has 7776 divisors, whose sum is σ = 1007691798597120. Its totient is φ = 36436967424000.

The previous prime is 198342605260753. The next prime is 198342605260843. The reversal of 198342605260800 is 8062506243891.

198342605260800 is a `hidden beast` number, since 1 + 9 + 8 + 3 + 4 + 2 + 605 + 26 + 0 + 8 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 2044769126352 + ... + 2044769126448.

Almost surely, 2^{198342605260800} is an apocalyptic number.

198342605260800 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 198342605260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503845899298560).

198342605260800 is an abundant number, since it is smaller than the sum of its proper divisors (809349193336320).

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

198342605260800 is a wasteful number, since it uses less digits than its factorization.

198342605260800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 198342605260800 in words is "one hundred ninety-eight trillion, three hundred forty-two billion, six hundred five million, two hundred sixty thousand, eight hundred".