198121166880 has 288 divisors, whose sum is σ = 781817811264. Its totient is φ = 41801324544.

The previous prime is 198121166869. The next prime is 198121166891. The reversal of 198121166880 is 88661121891.

It is an interprime number because it is at equal distance from previous prime (198121166869) and next prime (198121166891).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18222 + ... + 629741.

It is an arithmetic number, because the mean of its divisors is an integer number (2714645178).

Almost surely, 2^198121166880 is an apocalyptic number.

198121166880 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 198121166880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390908905632).

198121166880 is an abundant number, since it is smaller than the sum of its proper divisors (583696644384).

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

198121166880 is a wasteful number, since it uses less digits than its factorization.

198121166880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648008 (or 647993 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 51.

The spelling of 198121166880 in words is "one hundred ninety-eight billion, one hundred twenty-one million, one hundred sixty-six thousand, eight hundred eighty".