268751680000 has 200 divisors, whose sum is σ = 679565969280. Its totient is φ = 106129920000.

The previous prime is 268751679991. The next prime is 268751680007. The reversal of 268751680000 is 86157862.

It is a tau number, because it is divible by the number of its divisors (200).

It is not an unprimeable number, because it can be changed into a prime (268751680007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25274685 + ... + 25285315.

Almost surely, 2^268751680000 is an apocalyptic number.

268751680000 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 268751680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339782984640).

268751680000 is an abundant number, since it is smaller than the sum of its proper divisors (410814289280).

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

268751680000 is an frugal number, since it uses more digits than its factorization.

268751680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10748 (or 10717 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The spelling of 268751680000 in words is "two hundred sixty-eight billion, seven hundred fifty-one million, six hundred eighty thousand".