268005250867200 has 2688 divisors, whose sum is σ = 1136757655425024. Its totient is φ = 54103375872000.

The previous prime is 268005250867183. The next prime is 268005250867217. The reversal of 268005250867200 is 2768052500862.

268005250867200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (268005250867183) and next prime (268005250867217).

It is a tau number, because it is divible by the number of its divisors (2688).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 245201509854 + ... + 245201510946.

Almost surely, 2^{268005250867200} is an apocalyptic number.

268005250867200 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 268005250867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568378827712512).

268005250867200 is an abundant number, since it is smaller than the sum of its proper divisors (868752404557824).

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

268005250867200 is a wasteful number, since it uses less digits than its factorization.

268005250867200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 51.

The spelling of 268005250867200 in words is "two hundred sixty-eight trillion, five billion, two hundred fifty million, eight hundred sixty-seven thousand, two hundred".