26838112679904 has 192 divisors, whose sum is σ = 74707783375680. Its totient is φ = 8421138432000.

The previous prime is 26838112679837. The next prime is 26838112679929. The reversal of 26838112679904 is 40997621183862.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168967884 + ... + 169126644.

It is an arithmetic number, because the mean of its divisors is an integer number (389103038415).

Almost surely, 2^{26838112679904} is an apocalyptic number.

26838112679904 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 26838112679904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37353891687840).

26838112679904 is an abundant number, since it is smaller than the sum of its proper divisors (47869670695776).

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

26838112679904 is a wasteful number, since it uses less digits than its factorization.

26838112679904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160325 (or 160317 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 66.

The spelling of 26838112679904 in words is "twenty-six trillion, eight hundred thirty-eight billion, one hundred twelve million, six hundred seventy-nine thousand, nine hundred four".