198272401274880 has 768 divisors, whose sum is σ = 722172510259200. Its totient is φ = 51572482375680.

The previous prime is 198272401274851. The next prime is 198272401274881. The reversal of 198272401274880 is 88472104272891.

198272401274880 is a `hidden beast` number, since 1 + 9 + 8 + 2 + 7 + 24 + 0 + 127 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198272401274881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8999689465 + ... + 8999711495.

It is an arithmetic number, because the mean of its divisors is an integer number (940328789400).

Almost surely, 2^{198272401274880} is an apocalyptic number.

198272401274880 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 198272401274880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361086255129600).

198272401274880 is an abundant number, since it is smaller than the sum of its proper divisors (523900108984320).

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

198272401274880 is a wasteful number, since it uses less digits than its factorization.

198272401274880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22867 (or 22841 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 63.

The spelling of 198272401274880 in words is "one hundred ninety-eight trillion, two hundred seventy-two billion, four hundred one million, two hundred seventy-four thousand, eight hundred eighty".