268800000000 has 576 divisors, whose sum is σ = 1023983850720. Its totient is φ = 61440000000.

The previous prime is 268799999921. The next prime is 268800000023. The reversal of 268800000000 is 8862.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 10000 × 2800 × 9600.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38399999997 + ... + 38400000003.

Almost surely, 2^268800000000 is an apocalyptic number.

268800000000 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 268800000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511991925360).

268800000000 is an abundant number, since it is smaller than the sum of its proper divisors (755183850720).

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

268800000000 is an frugal number, since it uses more digits than its factorization.

268800000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 268800000000 its reverse (8862), we get a palindrome (268800008862).

The spelling of 268800000000 in words is "two hundred sixty-eight billion, eight hundred million", and thus it is an aban number.