268260890000 has 50 divisors (see below), whose sum is σ = 649486464990. Its totient is φ = 107304352000.

The previous prime is 268260889987. The next prime is 268260890003. The reversal of 268260890000 is 98062862.

268260890000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 80376786064 + 187884103936 = 283508^2 + 433456^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a self number, because there is not a number n which added to its sum of digits gives 268260890000.

It is not an unprimeable number, because it can be changed into a prime (268260890003) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 13403045 + ... + 13423044.

Almost surely, 2^268260890000 is an apocalyptic number.

268260890000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268260890000 is an abundant number, since it is smaller than the sum of its proper divisors (381225574990).

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

268260890000 is an equidigital number, since it uses as much as digits as its factorization.

268260890000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26826117 (or 26826096 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The spelling of 268260890000 in words is "two hundred sixty-eight billion, two hundred sixty million, eight hundred ninety thousand".