268931993600 has 156 divisors (see below), whose sum is σ = 688389987840. Its totient is φ = 104101478400.

The previous prime is 268931993591. The next prime is 268931993639. The reversal of 268931993600 is 6399139862.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3132041 + ... + 3216759.

Almost surely, 2^268931993600 is an apocalyptic number.

268931993600 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 268931993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344194993920).

268931993600 is an abundant number, since it is smaller than the sum of its proper divisors (419457994240).

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

268931993600 is an equidigital number, since it uses as much as digits as its factorization.

268931993600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84784 (or 84757 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 56.

The spelling of 268931993600 in words is "two hundred sixty-eight billion, nine hundred thirty-one million, nine hundred ninety-three thousand, six hundred".