26114288256 has 192 divisors, whose sum is σ = 90402436800. Its totient is φ = 7068487680.

The previous prime is 26114288231. The next prime is 26114288281. The reversal of 26114288256 is 65288241162.

26114288256 is a `hidden beast` number, since 2 + 6 + 114 + 288 + 256 = 666.

It is an interprime number because it is at equal distance from previous prime (26114288231) and next prime (26114288281).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×26114288256² (a number of 22 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 67996 + ... + 238436.

It is an arithmetic number, because the mean of its divisors is an integer number (470846025).

Almost surely, 2^26114288256 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 26114288256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45201218400).

26114288256 is an abundant number, since it is smaller than the sum of its proper divisors (64288148544).

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

26114288256 is a wasteful number, since it uses less digits than its factorization.

26114288256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170487 (or 170472 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The spelling of 26114288256 in words is "twenty-six billion, one hundred fourteen million, two hundred eighty-eight thousand, two hundred fifty-six".