26381679104448 has 168 divisors, whose sum is σ = 76846322870928. Its totient is φ = 8651424595968.

The previous prime is 26381679104423. The next prime is 26381679104453. The reversal of 26381679104448 is 84440197618362.

26381679104448 is a `hidden beast` number, since 2 + 6 + 3 + 8 + 16 + 79 + 104 + 448 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29389440 + ... + 30273792.

Almost surely, 2^{26381679104448} 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 26381679104448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38423161435464).

26381679104448 is an abundant number, since it is smaller than the sum of its proper divisors (50464643766480).

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

26381679104448 is a wasteful number, since it uses less digits than its factorization.

26381679104448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885211 (or 885198 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 26381679104448 in words is "twenty-six trillion, three hundred eighty-one billion, six hundred seventy-nine million, one hundred four thousand, four hundred forty-eight".