26688043855872 has 2080 divisors, whose sum is σ = 99963360313344. Its totient is φ = 6928279142400.

The previous prime is 26688043855871. The next prime is 26688043855901. The reversal of 26688043855872 is 27855834088662.

26688043855872 is a `hidden beast` number, since 2 + 6 + 6 + 8 + 8 + 0 + 4 + 38 + 5 + 587 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 26688043855872.

It is not an unprimeable number, because it can be changed into a prime (26688043855871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 117568475023 + ... + 117568475249.

Almost surely, 2^{26688043855872} 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 26688043855872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49981680156672).

26688043855872 is an abundant number, since it is smaller than the sum of its proper divisors (73275316457472).

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

26688043855872 is a wasteful number, since it uses less digits than its factorization.

26688043855872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 1238630400, while the sum is 72.

The spelling of 26688043855872 in words is "twenty-six trillion, six hundred eighty-eight billion, forty-three million, eight hundred fifty-five thousand, eight hundred seventy-two".