26081312256 has 320 divisors, whose sum is σ = 79368759360. Its totient is φ = 8453652480.

The previous prime is 26081312251. The next prime is 26081312267. The reversal of 26081312256 is 65221318062.

26081312256 is a `hidden beast` number, since 2 + 608 + 13 + 12 + 25 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 26081312256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26081312251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132392350 + ... + 132392546.

It is an arithmetic number, because the mean of its divisors is an integer number (248027373).

Almost surely, 2^26081312256 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 26081312256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39684379680).

26081312256 is an abundant number, since it is smaller than the sum of its proper divisors (53287447104).

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

26081312256 is a wasteful number, since it uses less digits than its factorization.

26081312256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 26081312256 in words is "twenty-six billion, eighty-one million, three hundred twelve thousand, two hundred fifty-six".