26666889355680 has 384 divisors, whose sum is σ = 100777245327360. Its totient is φ = 5798688030720.

The previous prime is 26666889355669. The next prime is 26666889355703. The reversal of 26666889355680 is 8655398866662.

It is a super-2 number, since 2×26666889355680² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 26666889355596 and 26666889355605.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3975792 + ... + 8315088.

It is an arithmetic number, because the mean of its divisors is an integer number (262440743040).

Almost surely, 2^{26666889355680} is an apocalyptic number.

26666889355680 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 26666889355680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50388622663680).

26666889355680 is an abundant number, since it is smaller than the sum of its proper divisors (74110355971680).

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

26666889355680 is a wasteful number, since it uses less digits than its factorization.

26666889355680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4339412 (or 4339404 counting only the distinct ones).

The product of its (nonzero) digits is 5374771200, while the sum is 78.

The spelling of 26666889355680 in words is "twenty-six trillion, six hundred sixty-six billion, eight hundred eighty-nine million, three hundred fifty-five thousand, six hundred eighty".