26206534368 has 288 divisors, whose sum is σ = 90251884800. Its totient is φ = 7375027968.

The previous prime is 26206534247. The next prime is 26206534439. The reversal of 26206534368 is 86343560262.

It is a happy number.

26206534368 is a `hidden beast` number, since 2 + 6 + 206 + 5 + 3 + 436 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2831893 + ... + 2841131.

It is an arithmetic number, because the mean of its divisors is an integer number (313374600).

Almost surely, 2^26206534368 is an apocalyptic number.

26206534368 is a gapful number since it is divisible by the number (28) 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 26206534368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45125942400).

26206534368 is an abundant number, since it is smaller than the sum of its proper divisors (64045350432).

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

26206534368 is a wasteful number, since it uses less digits than its factorization.

26206534368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9339 (or 9318 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 26206534368 in words is "twenty-six billion, two hundred six million, five hundred thirty-four thousand, three hundred sixty-eight".