26080819193664 has 392 divisors, whose sum is σ = 78156083252672. Its totient is φ = 8630941962240.

The previous prime is 26080819193609. The next prime is 26080819193677. The reversal of 26080819193664 is 46639191808062.

26080819193664 is a `hidden beast` number, since 2 + 6 + 0 + 80 + 8 + 191 + 9 + 366 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 13924622232 + ... + 13924624104.

Almost surely, 2^{26080819193664} is an apocalyptic number.

26080819193664 is a gapful number since it is divisible by the number (24) 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 26080819193664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39078041626336).

26080819193664 is an abundant number, since it is smaller than the sum of its proper divisors (52075264059008).

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

26080819193664 is a wasteful number, since it uses less digits than its factorization.

26080819193664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3897 (or 3872 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 26080819193664 in words is "twenty-six trillion, eighty billion, eight hundred nineteen million, one hundred ninety-three thousand, six hundred sixty-four".