26581839648 has 576 divisors, whose sum is σ = 92556656640. Its totient is φ = 6521389056.

The previous prime is 26581839619. The next prime is 26581839797. The reversal of 26581839648 is 84693818562.

It is a junction number, because it is equal to n+sod(n) for n = 26581839591 and 26581839600.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 209305761 + ... + 209305887.

It is an arithmetic number, because the mean of its divisors is an integer number (160688640).

Almost surely, 2^26581839648 is an apocalyptic number.

26581839648 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 26581839648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46278328320).

26581839648 is an abundant number, since it is smaller than the sum of its proper divisors (65974816992).

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

26581839648 is a wasteful number, since it uses less digits than its factorization.

26581839648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 268 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 60.

The spelling of 26581839648 in words is "twenty-six billion, five hundred eighty-one million, eight hundred thirty-nine thousand, six hundred forty-eight".