198089032680 has 1536 divisors, whose sum is σ = 912880627200. Its totient is φ = 37623398400.

The previous prime is 198089032679. The next prime is 198089032699. The reversal of 198089032680 is 86230980891.

It is a happy number.

198089032680 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 (54).

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 383 ways as a sum of consecutive naturals, for example, 366153210 + ... + 366153750.

It is an arithmetic number, because the mean of its divisors is an integer number (594323325).

Almost surely, 2^198089032680 is an apocalyptic number.

198089032680 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 198089032680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456440313600).

198089032680 is an abundant number, since it is smaller than the sum of its proper divisors (714791594520).

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

198089032680 is a wasteful number, since it uses less digits than its factorization.

198089032680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 198089032680 in words is "one hundred ninety-eight billion, eighty-nine million, thirty-two thousand, six hundred eighty".