268985248000 has 288 divisors, whose sum is σ = 778818942720. Its totient is φ = 90655948800.

The previous prime is 268985247997. The next prime is 268985248013. The reversal of 268985248000 is 842589862.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13205824 + ... + 13226176.

It is an arithmetic number, because the mean of its divisors is an integer number (2704232440).

Almost surely, 2^268985248000 is an apocalyptic number.

268985248000 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 268985248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389409471360).

268985248000 is an abundant number, since it is smaller than the sum of its proper divisors (509833694720).

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

268985248000 is an equidigital number, since it uses as much as digits as its factorization.

268985248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20450 (or 20426 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 52.

The spelling of 268985248000 in words is "two hundred sixty-eight billion, nine hundred eighty-five million, two hundred forty-eight thousand".