26442220200 has 768 divisors, whose sum is σ = 99743616000. Its totient is φ = 5723136000.

The previous prime is 26442220193. The next prime is 26442220249. The reversal of 26442220200 is 202224462.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 191 ways as a sum of consecutive naturals, for example, 190231731 + ... + 190231869.

It is an arithmetic number, because the mean of its divisors is an integer number (129874500).

Almost surely, 2^26442220200 is an apocalyptic number.

26442220200 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 26442220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49871808000).

26442220200 is an abundant number, since it is smaller than the sum of its proper divisors (73301395800).

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

26442220200 is a wasteful number, since it uses less digits than its factorization.

26442220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 26442220200 its reverse (202224462), we get a palindrome (26644444662).

It can be divided in two parts, 26442 and 220200, that added together give a palindrome (246642).

The spelling of 26442220200 in words is "twenty-six billion, four hundred forty-two million, two hundred twenty thousand, two hundred".