26233122432 has 256 divisors, whose sum is σ = 77358758400. Its totient is φ = 7810560000.

The previous prime is 26233122389. The next prime is 26233122449. The reversal of 26233122432 is 23422133262.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 26233122432.

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 31 ways as a sum of consecutive naturals, for example, 104514307 + ... + 104514557.

It is an arithmetic number, because the mean of its divisors is an integer number (302182650).

Almost surely, 2^26233122432 is an apocalyptic number.

26233122432 is a gapful number since it is divisible by the number (22) 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 26233122432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38679379200).

26233122432 is an abundant number, since it is smaller than the sum of its proper divisors (51125635968).

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

26233122432 is a wasteful number, since it uses less digits than its factorization.

26233122432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 603 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

Adding to 26233122432 its reverse (23422133262), we get a palindrome (49655255694).

The spelling of 26233122432 in words is "twenty-six billion, two hundred thirty-three million, one hundred twenty-two thousand, four hundred thirty-two".