198873569088 has 280 divisors, whose sum is σ = 625328716320. Its totient is φ = 62318730240.

The previous prime is 198873569047. The next prime is 198873569093. The reversal of 198873569088 is 880965378891.

198873569088 is a `hidden beast` number, since 198 + 8 + 7 + 356 + 9 + 0 + 88 = 666.

198873569088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12895270 + ... + 12910682.

It is an arithmetic number, because the mean of its divisors is an integer number (2233316844).

Almost surely, 2^198873569088 is an apocalyptic number.

198873569088 is a gapful number since it is divisible by the number (18) 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 198873569088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312664358160).

198873569088 is an abundant number, since it is smaller than the sum of its proper divisors (426455147232).

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

198873569088 is a wasteful number, since it uses less digits than its factorization.

198873569088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15587 (or 15568 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 72.

The spelling of 198873569088 in words is "one hundred ninety-eight billion, eight hundred seventy-three million, five hundred sixty-nine thousand, eighty-eight".