26212122432 has 168 divisors, whose sum is σ = 76303936800. Its totient is φ = 8601891840.

The previous prime is 26212122407. The next prime is 26212122473. The reversal of 26212122432 is 23422121262.

26212122432 is a `hidden beast` number, since 2 + 6 + 212 + 12 + 2 + 432 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 26212122396 and 26212122405.

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 23 ways as a sum of consecutive naturals, for example, 16684207 + ... + 16685777.

It is an arithmetic number, because the mean of its divisors is an integer number (454190100).

Almost surely, 2^26212122432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26212122432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38151968400).

26212122432 is an abundant number, since it is smaller than the sum of its proper divisors (50091814368).

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

26212122432 is a wasteful number, since it uses less digits than its factorization.

26212122432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2021 (or 2008 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 26212122432 its reverse (23422121262), we get a palindrome (49634243694).

The spelling of 26212122432 in words is "twenty-six billion, two hundred twelve million, one hundred twenty-two thousand, four hundred thirty-two".