26224214016880 has 160 divisors (see below), whose sum is σ = 66766874503680. Its totient is φ = 9499904240640.

The previous prime is 26224214016797. The next prime is 26224214016881. The reversal of 26224214016880 is 8861041242262.

It is a self number, because there is not a number n which added to its sum of digits gives 26224214016880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26224214016881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 281682819 + ... + 281775901.

It is an arithmetic number, because the mean of its divisors is an integer number (417292965648).

Almost surely, 2^{26224214016880} is an apocalyptic number.

26224214016880 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 26224214016880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33383437251840).

26224214016880 is an abundant number, since it is smaller than the sum of its proper divisors (40542660486800).

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

26224214016880 is a wasteful number, since it uses less digits than its factorization.

26224214016880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94319 (or 94313 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 46.

The spelling of 26224214016880 in words is "twenty-six trillion, two hundred twenty-four billion, two hundred fourteen million, sixteen thousand, eight hundred eighty".