198858240000 has 1300 divisors, whose sum is σ = 854559690864. Its totient is φ = 45121536000.

The previous prime is 198858239989. The next prime is 198858240017. The reversal of 198858240000 is 42858891.

It is a happy number.

198858240000 is a `hidden beast` number, since 1 + 98 + 85 + 82 + 400 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 1451519932 + ... + 1451520068.

Almost surely, 2^198858240000 is an apocalyptic number.

198858240000 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 198858240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427279845432).

198858240000 is an abundant number, since it is smaller than the sum of its proper divisors (655701450864).

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

198858240000 is an frugal number, since it uses more digits than its factorization.

198858240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 198858240000 in words is "one hundred ninety-eight billion, eight hundred fifty-eight million, two hundred forty thousand".