26889467616 has 480 divisors, whose sum is σ = 90100200960. Its totient is φ = 7794662400.

The previous prime is 26889467503. The next prime is 26889467621. The reversal of 26889467616 is 61676498862.

26889467616 is a `hidden beast` number, since 2 + 6 + 8 + 8 + 9 + 4 + 6 + 7 + 616 = 666.

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 79 ways as a sum of consecutive naturals, for example, 74900845 + ... + 74901203.

It is an arithmetic number, because the mean of its divisors is an integer number (187708752).

Almost surely, 2^26889467616 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 26889467616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45050100480).

26889467616 is an abundant number, since it is smaller than the sum of its proper divisors (63210733344).

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

26889467616 is a wasteful number, since it uses less digits than its factorization.

26889467616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 483 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The spelling of 26889467616 in words is "twenty-six billion, eight hundred eighty-nine million, four hundred sixty-seven thousand, six hundred sixteen".