26072268966000 has 960 divisors, whose sum is σ = 95026673903616. Its totient is φ = 6656753664000.

The previous prime is 26072268965947. The next prime is 26072268966019. The reversal of 26072268966000 is 66986227062.

26072268966000 is a `hidden beast` number, since 2 + 6 + 0 + 7 + 2 + 26 + 8 + 9 + 6 + 600 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12338980944 + ... + 12338983056.

Almost surely, 2^{26072268966000} is an apocalyptic number.

26072268966000 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 26072268966000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47513336951808).

26072268966000 is an abundant number, since it is smaller than the sum of its proper divisors (68954404937616).

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

26072268966000 is a wasteful number, since it uses less digits than its factorization.

26072268966000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2467 (or 2448 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 26072268966000 in words is "twenty-six trillion, seventy-two billion, two hundred sixty-eight million, nine hundred sixty-six thousand".