268297319104200 has 768 divisors, whose sum is σ = 980733371904000. Its totient is φ = 67226350464000.

The previous prime is 268297319104183. The next prime is 268297319104223. The reversal of 268297319104200 is 2401913792862.

268297319104200 is a `hidden beast` number, since 2 + 6 + 8 + 29 + 7 + 3 + 191 + 0 + 420 + 0 = 666.

268297319104200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 31464440337 + ... + 31464448863.

It is an arithmetic number, because the mean of its divisors is an integer number (1276996578000).

Almost surely, 2^{268297319104200} is an apocalyptic number.

268297319104200 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 268297319104200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490366685952000).

268297319104200 is an abundant number, since it is smaller than the sum of its proper divisors (712436052799800).

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

268297319104200 is a wasteful number, since it uses less digits than its factorization.

268297319104200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11043 (or 11028 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 268297319104200 in words is "two hundred sixty-eight trillion, two hundred ninety-seven billion, three hundred nineteen million, one hundred four thousand, two hundred".