26688936888 has 384 divisors, whose sum is σ = 83026944000. Its totient is φ = 7994972160.

The previous prime is 26688936881. The next prime is 26688936913. The reversal of 26688936888 is 88863988662.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26688936881) 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 95 ways as a sum of consecutive naturals, for example, 111669073 + ... + 111669311.

It is an arithmetic number, because the mean of its divisors is an integer number (216216000).

Almost surely, 2^26688936888 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 26688936888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41513472000).

26688936888 is an abundant number, since it is smaller than the sum of its proper divisors (56338007112).

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

26688936888 is a wasteful number, since it uses less digits than its factorization.

26688936888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 401 counting only the distinct ones).

The product of its digits is 382205952, while the sum is 72.

The spelling of 26688936888 in words is "twenty-six billion, six hundred eighty-eight million, nine hundred thirty-six thousand, eight hundred eighty-eight".