268810198272 has 432 divisors, whose sum is σ = 975226412160. Its totient is φ = 69175296000.

The previous prime is 268810198199. The next prime is 268810198291. The reversal of 268810198272 is 272891018862.

268810198272 is a `hidden beast` number, since 268 + 8 + 101 + 9 + 8 + 272 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19330522 + ... + 19344422.

Almost surely, 2^268810198272 is an apocalyptic number.

268810198272 is a gapful number since it is divisible by the number (22) 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 268810198272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487613206080).

268810198272 is an abundant number, since it is smaller than the sum of its proper divisors (706416213888).

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

268810198272 is a wasteful number, since it uses less digits than its factorization.

268810198272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14050 (or 14033 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 268810198272 in words is "two hundred sixty-eight billion, eight hundred ten million, one hundred ninety-eight thousand, two hundred seventy-two".