26991306146688 has 1024 divisors, whose sum is σ = 88264492646400. Its totient is φ = 7225273516032.

The previous prime is 26991306146647. The next prime is 26991306146699. The reversal of 26991306146688 is 88664160319962.

It is a hoax number, since the sum of its digits (69) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5434123981 + ... + 5434128947.

It is an arithmetic number, because the mean of its divisors is an integer number (86195793600).

Almost surely, 2^{26991306146688} 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 26991306146688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44132246323200).

26991306146688 is an abundant number, since it is smaller than the sum of its proper divisors (61273186499712).

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

26991306146688 is a wasteful number, since it uses less digits than its factorization.

26991306146688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5139 (or 5127 counting only the distinct ones).

The product of its (nonzero) digits is 161243136, while the sum is 69.

The spelling of 26991306146688 in words is "twenty-six trillion, nine hundred ninety-one billion, three hundred six million, one hundred forty-six thousand, six hundred eighty-eight".