268819195200 has 84 divisors (see below), whose sum is σ = 881950992000. Its totient is φ = 71685117440.

The previous prime is 268819195181. The next prime is 268819195207. The reversal of 268819195200 is 2591918862.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268819195207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27997200 + ... + 28006799.

Almost surely, 2^268819195200 is an apocalyptic number.

268819195200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268819195200 is an abundant number, since it is smaller than the sum of its proper divisors (613131796800).

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

268819195200 is a wasteful number, since it uses less digits than its factorization.

268819195200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56004024 (or 56004009 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 51.

The spelling of 268819195200 in words is "two hundred sixty-eight billion, eight hundred nineteen million, one hundred ninety-five thousand, two hundred".