268389247200 has 576 divisors, whose sum is σ = 924402834432. Its totient is φ = 67556966400.

The previous prime is 268389247199. The next prime is 268389247201. The reversal of 268389247200 is 2742983862.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (268389247199) and next prime (268389247201).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268389247201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 579674169 + ... + 579674631.

It is an arithmetic number, because the mean of its divisors is an integer number (1604866032).

Almost surely, 2^268389247200 is an apocalyptic number.

268389247200 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 268389247200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462201417216).

268389247200 is an abundant number, since it is smaller than the sum of its proper divisors (656013587232).

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

268389247200 is a wasteful number, since it uses less digits than its factorization.

268389247200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 268389247200 in words is "two hundred sixty-eight billion, three hundred eighty-nine million, two hundred forty-seven thousand, two hundred".