26806032679104 has 2688 divisors, whose sum is σ = 106551135436800. Its totient is φ = 6444708986880.

The previous prime is 26806032679061. The next prime is 26806032679147. The reversal of 26806032679104 is 40197623060862.

26806032679104 is a `hidden beast` number, since 2 + 6 + 8 + 0 + 603 + 26 + 7 + 9 + 1 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (26806032679061) and next prime (26806032679147).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 383 ways as a sum of consecutive naturals, for example, 96772681014 + ... + 96772681290.

Almost surely, 2^{26806032679104} is an apocalyptic number.

26806032679104 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 26806032679104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53275567718400).

26806032679104 is an abundant number, since it is smaller than the sum of its proper divisors (79745102757696).

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

26806032679104 is a wasteful number, since it uses less digits than its factorization.

26806032679104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 26806032679104 in words is "twenty-six trillion, eight hundred six billion, thirty-two million, six hundred seventy-nine thousand, one hundred four".