26271110766992 has 240 divisors, whose sum is σ = 68444939243520. Its totient is φ = 9528352704000.

The previous prime is 26271110766889. The next prime is 26271110766997. The reversal of 26271110766992 is 29966701117262.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (26271110766997) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9970367 + ... + 12326817.

It is an arithmetic number, because the mean of its divisors is an integer number (285187246848).

Almost surely, 2^{26271110766992} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26271110766992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34222469621760).

26271110766992 is an abundant number, since it is smaller than the sum of its proper divisors (42173828476528).

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

26271110766992 is a wasteful number, since it uses less digits than its factorization.

26271110766992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2356542 (or 2356523 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 59.

The spelling of 26271110766992 in words is "twenty-six trillion, two hundred seventy-one billion, one hundred ten million, seven hundred sixty-six thousand, nine hundred ninety-two".