26856019008 has 336 divisors, whose sum is σ = 100318458240. Its totient is φ = 6666043392.

The previous prime is 26856019007. The next prime is 26856019031. The reversal of 26856019008 is 80091065862.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (26856019007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 876003 + ... + 906141.

It is an arithmetic number, because the mean of its divisors is an integer number (298566840).

Almost surely, 2^26856019008 is an apocalyptic number.

26856019008 is a gapful number since it is divisible by the number (28) 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 26856019008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50159229120).

26856019008 is an abundant number, since it is smaller than the sum of its proper divisors (73462439232).

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

26856019008 is a wasteful number, since it uses less digits than its factorization.

26856019008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30194 (or 30181 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 26856019008 in words is "twenty-six billion, eight hundred fifty-six million, nineteen thousand, eight".