26656630440 has 128 divisors (see below), whose sum is σ = 87826032000. Its totient is φ = 6418795520.

The previous prime is 26656630361. The next prime is 26656630531. The reversal of 26656630440 is 4403665662.

It is a junction number, because it is equal to n+sod(n) for n = 26656630392 and 26656630401.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 128914 + ... + 264446.

It is an arithmetic number, because the mean of its divisors is an integer number (686140875).

Almost surely, 2^26656630440 is an apocalyptic number.

26656630440 is a gapful number since it is divisible by the number (20) 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 26656630440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43913016000).

26656630440 is an abundant number, since it is smaller than the sum of its proper divisors (61169401560).

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

26656630440 is a wasteful number, since it uses less digits than its factorization.

26656630440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135707 (or 135703 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 26656630440 in words is "twenty-six billion, six hundred fifty-six million, six hundred thirty thousand, four hundred forty".