26000778605568 has 1056 divisors, whose sum is σ = 82039252014720. Its totient is φ = 7257135513600.

The previous prime is 26000778605567. The next prime is 26000778605573. The reversal of 26000778605568 is 86550687700062.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26000778605567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 131983647646 + ... + 131983647842.

It is an arithmetic number, because the mean of its divisors is an integer number (77688685620).

Almost surely, 2^{26000778605568} 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 26000778605568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41019626007360).

26000778605568 is an abundant number, since it is smaller than the sum of its proper divisors (56038473409152).

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

26000778605568 is a wasteful number, since it uses less digits than its factorization.

26000778605568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 60.

The spelling of 26000778605568 in words is "twenty-six trillion, seven hundred seventy-eight million, six hundred five thousand, five hundred sixty-eight".