26648210508849 has 16 divisors (see below), whose sum is σ = 39482009274240. Its totient is φ = 17764043171760.

The previous prime is 26648210508827. The next prime is 26648210508877. The reversal of 26648210508849 is 94880501284662.

26648210508849 is a `hidden beast` number, since 2 + 6 + 6 + 4 + 82 + 1 + 0 + 508 + 8 + 49 = 666.

It is not a de Polignac number, because 26648210508849 - 2⁵ = 26648210508817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (26648210508449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39394557 + ... + 40065290.

It is an arithmetic number, because the mean of its divisors is an integer number (2467625579640).

Almost surely, 2^{26648210508849} is an apocalyptic number.

It is an amenable number.

26648210508849 is a deficient number, since it is larger than the sum of its proper divisors (12833798765391).

26648210508849 is a wasteful number, since it uses less digits than its factorization.

26648210508849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79472277 (or 79472271 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 26648210508849 in words is "twenty-six trillion, six hundred forty-eight billion, two hundred ten million, five hundred eight thousand, eight hundred forty-nine".