268523520000 has 300 divisors, whose sum is σ = 894867032136. Its totient is φ = 71598080000.

The previous prime is 268523519981. The next prime is 268523520037. The reversal of 268523520000 is 25325862.

268523520000 is digitally balanced in base 3, 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 (300).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30715630 + ... + 30724370.

Almost surely, 2^268523520000 is an apocalyptic number.

268523520000 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 268523520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447433516068).

268523520000 is an abundant number, since it is smaller than the sum of its proper divisors (626343512136).

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

268523520000 is an frugal number, since it uses more digits than its factorization.

268523520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8792 (or 8751 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

Adding to 268523520000 its reverse (25325862), we get a palindrome (268548845862).

The spelling of 268523520000 in words is "two hundred sixty-eight billion, five hundred twenty-three million, five hundred twenty thousand".