26135278848 has 864 divisors, whose sum is σ = 99868204800. Its totient is φ = 6391332864.

The previous prime is 26135278811. The next prime is 26135278889. The reversal of 26135278848 is 84887253162.

26135278848 is a `hidden beast` number, since 26 + 13 + 527 + 8 + 84 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 26135278794 and 26135278803.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 151070890 + ... + 151071062.

It is an arithmetic number, because the mean of its divisors is an integer number (115588200).

Almost surely, 2^26135278848 is an apocalyptic number.

26135278848 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 26135278848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49934102400).

26135278848 is an abundant number, since it is smaller than the sum of its proper divisors (73732925952).

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

26135278848 is a wasteful number, since it uses less digits than its factorization.

26135278848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 250 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The spelling of 26135278848 in words is "twenty-six billion, one hundred thirty-five million, two hundred seventy-eight thousand, eight hundred forty-eight".