26681797509120 has 1344 divisors, whose sum is σ = 104005267833600. Its totient is φ = 6531135307776.

The previous prime is 26681797509079. The next prime is 26681797509149. The reversal of 26681797509120 is 2190579718662.

26681797509120 is a `hidden beast` number, since 2 + 6 + 6 + 8 + 17 + 97 + 509 + 1 + 20 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 149060321191 + ... + 149060321369.

It is an arithmetic number, because the mean of its divisors is an integer number (77384871900).

Almost surely, 2^{26681797509120} is an apocalyptic number.

26681797509120 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 26681797509120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52002633916800).

26681797509120 is an abundant number, since it is smaller than the sum of its proper divisors (77323470324480).

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

26681797509120 is an frugal number, since it uses more digits than its factorization.

26681797509120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 26681797509120 in words is "twenty-six trillion, six hundred eighty-one billion, seven hundred ninety-seven million, five hundred nine thousand, one hundred twenty".