268006012928 has 96 divisors (see below), whose sum is σ = 568056434400. Its totient is φ = 125975396352.

The previous prime is 268006012927. The next prime is 268006012931. The reversal of 268006012928 is 829210600862.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268006012927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34011293 + ... + 34019171.

It is an arithmetic number, because the mean of its divisors is an integer number (5917254525).

Almost surely, 2^268006012928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268006012928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284028217200).

268006012928 is an abundant number, since it is smaller than the sum of its proper divisors (300050421472).

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

268006012928 is an equidigital number, since it uses as much as digits as its factorization.

268006012928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8895 (or 8875 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 44.

The spelling of 268006012928 in words is "two hundred sixty-eight billion, six million, twelve thousand, nine hundred twenty-eight".