26241266888928 has 1920 divisors, whose sum is σ = 103626822942720. Its totient is φ = 6326583459840.

The previous prime is 26241266888923. The next prime is 26241266888929. The reversal of 26241266888928 is 82988866214262.

It is a happy number.

26241266888928 is a `hidden beast` number, since 2 + 62 + 412 + 6 + 68 + 8 + 8 + 92 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26241266888923) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 9966298300 + ... + 9966300932.

It is an arithmetic number, because the mean of its divisors is an integer number (53972303616).

Almost surely, 2^{26241266888928} is an apocalyptic number.

26241266888928 is a gapful number since it is divisible by the number (28) 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 26241266888928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51813411471360).

26241266888928 is an abundant number, since it is smaller than the sum of its proper divisors (77385556053792).

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

26241266888928 is a wasteful number, since it uses less digits than its factorization.

26241266888928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2782 (or 2765 counting only the distinct ones).

The product of its digits is 509607936, while the sum is 72.

The spelling of 26241266888928 in words is "twenty-six trillion, two hundred forty-one billion, two hundred sixty-six million, eight hundred eighty-eight thousand, nine hundred twenty-eight".