26222067200 has 480 divisors, whose sum is σ = 79602167040. Its totient is φ = 8360755200.

The previous prime is 26222067191. The next prime is 26222067233. The reversal of 26222067200 is 276022262.

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, 124275095 + ... + 124275305.

It is an arithmetic number, because the mean of its divisors is an integer number (165837848).

Almost surely, 2^26222067200 is an apocalyptic number.

26222067200 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 26222067200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39801083520).

26222067200 is an abundant number, since it is smaller than the sum of its proper divisors (53380099840).

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

26222067200 is a wasteful number, since it uses less digits than its factorization.

26222067200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

Adding to 26222067200 its reverse (276022262), we get a palindrome (26498089462).

The spelling of 26222067200 in words is "twenty-six billion, two hundred twenty-two million, sixty-seven thousand, two hundred".