26749727136 has 288 divisors, whose sum is σ = 86166400320. Its totient is φ = 7797350400.

The previous prime is 26749727093. The next prime is 26749727177. The reversal of 26749727136 is 63172794762.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×26749727136³ (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45108856 + ... + 45109448.

It is an arithmetic number, because the mean of its divisors is an integer number (299188890).

Almost surely, 2^26749727136 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 26749727136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43083200160).

26749727136 is an abundant number, since it is smaller than the sum of its proper divisors (59416673184).

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

26749727136 is a wasteful number, since it uses less digits than its factorization.

26749727136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1129 counting only the distinct ones).

The product of its digits is 5334336, while the sum is 54.

The spelling of 26749727136 in words is "twenty-six billion, seven hundred forty-nine million, seven hundred twenty-seven thousand, one hundred thirty-six".