268190642275200 has 576 divisors, whose sum is σ = 960173831794320. Its totient is φ = 71277915340800.

The previous prime is 268190642275189. The next prime is 268190642275219. The reversal of 268190642275200 is 2572246091862.

268190642275200 is a `hidden beast` number, since 2 + 6 + 8 + 1 + 9 + 0 + 6 + 422 + 7 + 5 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 44616640195 + ... + 44616646205.

Almost surely, 2^{268190642275200} is an apocalyptic number.

268190642275200 is a gapful number since it is divisible by the number (20) 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 268190642275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480086915897160).

268190642275200 is an abundant number, since it is smaller than the sum of its proper divisors (691983189519120).

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

268190642275200 is a wasteful number, since it uses less digits than its factorization.

268190642275200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10975 (or 10955 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 268190642275200 in words is "two hundred sixty-eight trillion, one hundred ninety billion, six hundred forty-two million, two hundred seventy-five thousand, two hundred".