26082228800 has 168 divisors, whose sum is σ = 66644276160. Its totient is φ = 10034841600.

The previous prime is 26082228793. The next prime is 26082228803. The reversal of 26082228800 is 882228062.

It is not an unprimeable number, because it can be changed into a prime (26082228803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14243885 + ... + 14245715.

It is an arithmetic number, because the mean of its divisors is an integer number (396692120).

Almost surely, 2^26082228800 is an apocalyptic number.

26082228800 is a gapful number since it is divisible by the number (20) 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 26082228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33322138080).

26082228800 is an abundant number, since it is smaller than the sum of its proper divisors (40562047360).

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

26082228800 is a wasteful number, since it uses less digits than its factorization.

26082228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2189 (or 2174 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 38.

The spelling of 26082228800 in words is "twenty-six billion, eighty-two million, two hundred twenty-eight thousand, eight hundred".