26138000208 has 320 divisors, whose sum is σ = 76829368320. Its totient is φ = 7616716800.

The previous prime is 26138000183. The next prime is 26138000261. The reversal of 26138000208 is 80200083162.

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 63 ways as a sum of consecutive naturals, for example, 78966603 + ... + 78966933.

It is an arithmetic number, because the mean of its divisors is an integer number (240091776).

Almost surely, 2^26138000208 is an apocalyptic number.

26138000208 is the 93342-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26138000208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38414684160).

26138000208 is an abundant number, since it is smaller than the sum of its proper divisors (50691368112).

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

26138000208 is a wasteful number, since it uses less digits than its factorization.

26138000208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 26138000208 in words is "twenty-six billion, one hundred thirty-eight million, two hundred eight", and thus it is an aban number.