268759026900 has 486 divisors, whose sum is σ = 1061155038762. Its totient is φ = 56703628800.

The previous prime is 268759026889. The next prime is 268759026931. The reversal of 268759026900 is 9620957862.

268759026900 is a `hidden beast` number, since 26 + 8 + 7 + 590 + 26 + 9 + 0 + 0 = 666.

268759026900 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 9 ways, for example, as 202300249284 + 66458777616 = 449778^2 + 257796^2 .

It is a super-2 number, since 2×268759026900² (a number of 24 digits) contains 22 as substring.

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 161 ways as a sum of consecutive naturals, for example, 7434870 + ... + 7470930.

Almost surely, 2^268759026900 is an apocalyptic number.

268759026900 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 268759026900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530577519381).

268759026900 is an abundant number, since it is smaller than the sum of its proper divisors (792396011862).

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

268759026900 is a wasteful number, since it uses less digits than its factorization.

268759026900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36121 (or 36091 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 268759026900 in words is "two hundred sixty-eight billion, seven hundred fifty-nine million, twenty-six thousand, nine hundred".