26802090254016 has 784 divisors, whose sum is σ = 101730757379328. Its totient is φ = 6799645440000.

The previous prime is 26802090253963. The next prime is 26802090254053. The reversal of 26802090254016 is 61045209020862.

26802090254016 is a `hidden beast` number, since 2 + 6 + 8 + 0 + 2 + 0 + 90 + 2 + 540 + 16 = 666.

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 111 ways as a sum of consecutive naturals, for example, 154391266 + ... + 154564766.

Almost surely, 2^{26802090254016} 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 26802090254016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50865378689664).

26802090254016 is an abundant number, since it is smaller than the sum of its proper divisors (74928667125312).

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

26802090254016 is a wasteful number, since it uses less digits than its factorization.

26802090254016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173592 (or 173567 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

Adding to 26802090254016 its reverse (61045209020862), we get a palindrome (87847299274878).

The spelling of 26802090254016 in words is "twenty-six trillion, eight hundred two billion, ninety million, two hundred fifty-four thousand, sixteen".