268888950720000 has 3600 divisors, whose sum is σ = 1103580772310016. Its totient is φ = 62899200000000.

The previous prime is 268888950719947. The next prime is 268888950720109. The reversal of 268888950720000 is 27059888862.

268888950720000 is a `hidden beast` number, since 26 + 8 + 8 + 8 + 89 + 507 + 20 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

It is a self number, because there is not a number n which added to its sum of digits gives 268888950720000.

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 359 ways as a sum of consecutive naturals, for example, 1071270719875 + ... + 1071270720125.

Almost surely, 2^{268888950720000} is an apocalyptic number.

268888950720000 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 268888950720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551790386155008).

268888950720000 is an abundant number, since it is smaller than the sum of its proper divisors (834691821590016).

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

268888950720000 is a wasteful number, since it uses less digits than its factorization.

268888950720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 268888950720000 in words is "two hundred sixty-eight trillion, eight hundred eighty-eight billion, nine hundred fifty million, seven hundred twenty thousand".