26159677440 has 544 divisors, whose sum is σ = 95126088960. Its totient is φ = 6090129408.

The previous prime is 26159677409. The next prime is 26159677459. The reversal of 26159677440 is 4477695162.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 293928916 + ... + 293929004.

Almost surely, 2^26159677440 is an apocalyptic number.

26159677440 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 26159677440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47563044480).

26159677440 is an abundant number, since it is smaller than the sum of its proper divisors (68966411520).

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

26159677440 is an equidigital number, since it uses as much as digits as its factorization.

26159677440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 26159677440 in words is "twenty-six billion, one hundred fifty-nine million, six hundred seventy-seven thousand, four hundred forty".