26681435934720 has 832 divisors, whose sum is σ = 99232332042240. Its totient is φ = 5994971136000.

The previous prime is 26681435934679. The next prime is 26681435934731. The reversal of 26681435934720 is 2743953418662.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12244806591 + ... + 12244808769.

It is a 2-persistent number, because it is pandigital, and so is 2⋅26681435934720 = 53362871869440, but 3⋅26681435934720 = 80044307804160 is not.

Almost surely, 2^{26681435934720} is an apocalyptic number.

26681435934720 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 26681435934720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49616166021120).

26681435934720 is an abundant number, since it is smaller than the sum of its proper divisors (72550896107520).

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

26681435934720 is a wasteful number, since it uses less digits than its factorization.

26681435934720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2690 (or 2668 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 60.

The spelling of 26681435934720 in words is "twenty-six trillion, six hundred eighty-one billion, four hundred thirty-five million, nine hundred thirty-four thousand, seven hundred twenty".