268851726000 has 960 divisors, whose sum is σ = 1112160067200. Its totient is φ = 59673600000.

The previous prime is 268851725963. The next prime is 268851726001. The reversal of 268851726000 is 627158862.

268851726000 is a `hidden beast` number, since 26 + 8 + 8 + 5 + 17 + 2 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (268851726001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 383525650 + ... + 383526350.

It is an arithmetic number, because the mean of its divisors is an integer number (1158500070).

Almost surely, 2^268851726000 is an apocalyptic number.

268851726000 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 268851726000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556080033600).

268851726000 is an abundant number, since it is smaller than the sum of its proper divisors (843308341200).

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

268851726000 is a wasteful number, since it uses less digits than its factorization.

268851726000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 268851726000 in words is "two hundred sixty-eight billion, eight hundred fifty-one million, seven hundred twenty-six thousand".