268797200000 has 384 divisors, whose sum is σ = 810083151360. Its totient is φ = 86722560000.

The previous prime is 268797199987. The next prime is 268797200011. The reversal of 268797200000 is 2797862.

268797200000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47597177 + ... + 47602823.

It is an arithmetic number, because the mean of its divisors is an integer number (2109591540).

Almost surely, 2^268797200000 is an apocalyptic number.

268797200000 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 268797200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405041575680).

268797200000 is an abundant number, since it is smaller than the sum of its proper divisors (541285951360).

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

268797200000 is an frugal number, since it uses more digits than its factorization.

268797200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5710 (or 5678 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 41.

Adding to 268797200000 its reverse (2797862), we get a palindrome (268799997862).

The spelling of 268797200000 in words is "two hundred sixty-eight billion, seven hundred ninety-seven million, two hundred thousand".