26284450224816 has 240 divisors, whose sum is σ = 84162151045440. Its totient is φ = 7501484390400.

The previous prime is 26284450224793. The next prime is 26284450224817. The reversal of 26284450224816 is 61842205448262.

26284450224816 is a `hidden beast` number, since 2 + 6 + 2 + 84 + 4 + 502 + 2 + 48 + 16 = 666.

It is not an unprimeable number, because it can be changed into a prime (26284450224817) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5553441586 + ... + 5553446318.

It is an arithmetic number, because the mean of its divisors is an integer number (350675629356).

Almost surely, 2^{26284450224816} 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 26284450224816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42081075522720).

26284450224816 is an abundant number, since it is smaller than the sum of its proper divisors (57877700820624).

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

26284450224816 is a wasteful number, since it uses less digits than its factorization.

26284450224816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9724 (or 9715 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 54.

The spelling of 26284450224816 in words is "twenty-six trillion, two hundred eighty-four billion, four hundred fifty million, two hundred twenty-four thousand, eight hundred sixteen".