26638989696 has 512 divisors, whose sum is σ = 89367667200. Its totient is φ = 7838208000.

The previous prime is 26638989659. The next prime is 26638989697. The reversal of 26638989696 is 69698983662.

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 (26638989697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 126251031 + ... + 126251241.

It is an arithmetic number, because the mean of its divisors is an integer number (174546225).

Almost surely, 2^26638989696 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 26638989696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44683833600).

26638989696 is an abundant number, since it is smaller than the sum of its proper divisors (62728677504).

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

26638989696 is an equidigital number, since it uses as much as digits as its factorization.

26638989696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 268 counting only the distinct ones).

The product of its digits is 362797056, while the sum is 72.

The spelling of 26638989696 in words is "twenty-six billion, six hundred thirty-eight million, nine hundred eighty-nine thousand, six hundred ninety-six".