26742910656 has 224 divisors, whose sum is σ = 88465932288. Its totient is φ = 6926607360.

The previous prime is 26742910639. The next prime is 26742910693. The reversal of 26742910656 is 65601924762.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5659911 + ... + 5664633.

Almost surely, 2^26742910656 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 26742910656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44232966144).

26742910656 is an abundant number, since it is smaller than the sum of its proper divisors (61723021632).

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

26742910656 is a wasteful number, since it uses less digits than its factorization.

26742910656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5139 (or 5129 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 26742910656 in words is "twenty-six billion, seven hundred forty-two million, nine hundred ten thousand, six hundred fifty-six".