26839822464 has 384 divisors, whose sum is σ = 95433811200. Its totient is φ = 7050682368.

The previous prime is 26839822447. The next prime is 26839822501. The reversal of 26839822464 is 46422893862.

26839822464 is a `hidden beast` number, since 2 + 6 + 8 + 398 + 2 + 246 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 26839822464.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52730242 + ... + 52730750.

It is an arithmetic number, because the mean of its divisors is an integer number (248525550).

Almost surely, 2^26839822464 is an apocalyptic number.

26839822464 is a gapful number since it is divisible by the number (24) 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 26839822464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47716905600).

26839822464 is an abundant number, since it is smaller than the sum of its proper divisors (68593988736).

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

26839822464 is a wasteful number, since it uses less digits than its factorization.

26839822464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1037 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The spelling of 26839822464 in words is "twenty-six billion, eight hundred thirty-nine million, eight hundred twenty-two thousand, four hundred sixty-four".