1268381875200 has 792 divisors, whose sum is σ = 4827686722560. Its totient is φ = 291232972800.

The previous prime is 1268381875199. The next prime is 1268381875237. The reversal of 1268381875200 is 25781838621.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 304970721 + ... + 304974879.

Almost surely, 2^{1268381875200} is an apocalyptic number.

1268381875200 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 1268381875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2413843361280).

1268381875200 is an abundant number, since it is smaller than the sum of its proper divisors (3559304847360).

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

1268381875200 is a wasteful number, since it uses less digits than its factorization.

1268381875200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4241 (or 4199 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 51.

The spelling of 1268381875200 in words is "one trillion, two hundred sixty-eight billion, three hundred eighty-one million, eight hundred seventy-five thousand, two hundred".