198707711083272 has 256 divisors, whose sum is σ = 565164273024000. Its totient is φ = 65479443448320.

The previous prime is 198707711083261. The next prime is 198707711083303. The reversal of 198707711083272 is 272380117707891.

198707711083272 is a `hidden beast` number, since 198 + 7 + 0 + 7 + 7 + 110 + 8 + 327 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12629987118 + ... + 12630002850.

It is an arithmetic number, because the mean of its divisors is an integer number (2207672941500).

Almost surely, 2^{198707711083272} is an apocalyptic number.

198707711083272 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 198707711083272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282582136512000).

198707711083272 is an abundant number, since it is smaller than the sum of its proper divisors (366456561940728).

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

198707711083272 is an equidigital number, since it uses as much as digits as its factorization.

198707711083272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23960 (or 23938 counting only the distinct ones).

The product of its (nonzero) digits is 16595712, while the sum is 63.

The spelling of 198707711083272 in words is "one hundred ninety-eight trillion, seven hundred seven billion, seven hundred eleven million, eighty-three thousand, two hundred seventy-two".