26886534048 has 144 divisors (see below), whose sum is σ = 83736446976. Its totient is φ = 8115486720.

The previous prime is 26886533963. The next prime is 26886534049. The reversal of 26886534048 is 84043568862.

26886534048 is a `hidden beast` number, since 2 + 68 + 8 + 6 + 534 + 0 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×26886534048² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 26886533985 and 26886534003.

It is not an unprimeable number, because it can be changed into a prime (26886534049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 797665 + ... + 830687.

It is an arithmetic number, because the mean of its divisors is an integer number (581503104).

Almost surely, 2^26886534048 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 26886534048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41868223488).

26886534048 is an abundant number, since it is smaller than the sum of its proper divisors (56849912928).

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

26886534048 is a wasteful number, since it uses less digits than its factorization.

26886534048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33307 (or 33296 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 26886534048 in words is "twenty-six billion, eight hundred eighty-six million, five hundred thirty-four thousand, forty-eight".