26228416032 has 576 divisors, whose sum is σ = 96334479360. Its totient is φ = 6796348416.

The previous prime is 26228416003. The next prime is 26228416043. The reversal of 26228416032 is 23061482262.

26228416032 is a `hidden beast` number, since 2 + 6 + 2 + 2 + 8 + 41 + 603 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 68481313 + ... + 68481695.

It is an arithmetic number, because the mean of its divisors is an integer number (167247360).

Almost surely, 2^26228416032 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 26228416032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48167239680).

26228416032 is an abundant number, since it is smaller than the sum of its proper divisors (70106063328).

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

26228416032 is a wasteful number, since it uses less digits than its factorization.

26228416032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 26228416032 its reverse (23061482262), we get a palindrome (49289898294).

The spelling of 26228416032 in words is "twenty-six billion, two hundred twenty-eight million, four hundred sixteen thousand, thirty-two".