268966656000 has 1920 divisors, whose sum is σ = 1224387964800. Its totient is φ = 57330892800.

The previous prime is 268966655987. The next prime is 268966656041. The reversal of 268966656000 is 656669862.

268966656000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1920).

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

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 159 ways as a sum of consecutive naturals, for example, 2467583946 + ... + 2467584054.

It is an arithmetic number, because the mean of its divisors is an integer number (637702065).

Almost surely, 2^268966656000 is an apocalyptic number.

268966656000 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 268966656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612193982400).

268966656000 is an abundant number, since it is smaller than the sum of its proper divisors (955421308800).

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

268966656000 is a wasteful number, since it uses less digits than its factorization.

268966656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 268966656000 in words is "two hundred sixty-eight billion, nine hundred sixty-six million, six hundred fifty-six thousand".