268869922339200 has 768 divisors, whose sum is σ = 1090120252838400. Its totient is φ = 56720118251520.

The previous prime is 268869922339199. The next prime is 268869922339243. The reversal of 268869922339200 is 2933229968862.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 7096233856 + ... + 7096271744.

It is an arithmetic number, because the mean of its divisors is an integer number (1419427412550).

Almost surely, 2^{268869922339200} is an apocalyptic number.

268869922339200 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 268869922339200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545060126419200).

268869922339200 is an abundant number, since it is smaller than the sum of its proper divisors (821250330499200).

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

268869922339200 is a wasteful number, since it uses less digits than its factorization.

268869922339200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46059 (or 46042 counting only the distinct ones).

The product of its (nonzero) digits is 241864704, while the sum is 69.

The spelling of 268869922339200 in words is "two hundred sixty-eight trillion, eight hundred sixty-nine billion, nine hundred twenty-two million, three hundred thirty-nine thousand, two hundred".