198175030272 has 528 divisors, whose sum is σ = 639767611392. Its totient is φ = 61093232640.

The previous prime is 198175030271. The next prime is 198175030301. The reversal of 198175030272 is 272030571891.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198175030271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177416658 + ... + 177417774.

Almost surely, 2^198175030272 is an apocalyptic number.

198175030272 is a gapful number since it is divisible by the number (12) 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 198175030272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319883805696).

198175030272 is an abundant number, since it is smaller than the sum of its proper divisors (441592581120).

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

198175030272 is a wasteful number, since it uses less digits than its factorization.

198175030272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 198175030272 in words is "one hundred ninety-eight billion, one hundred seventy-five million, thirty thousand, two hundred seventy-two".