26116260642 has 48 divisors (see below), whose sum is σ = 60060550680. Its totient is φ = 8173264896.

The previous prime is 26116260641. The next prime is 26116260661. The reversal of 26116260642 is 24606261162.

26116260642 is a `hidden beast` number, since 2 + 6 + 1 + 1 + 6 + 2 + 6 + 0 + 642 = 666.

26116260642 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 24563979441 + 1552281201 = 156729^2 + 39399^2 .

It is a junction number, because it is equal to n+sod(n) for n = 26116260597 and 26116260606.

It is not an unprimeable number, because it can be changed into a prime (26116260641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20818 + ... + 229490.

Almost surely, 2^26116260642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26116260642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30030275340).

26116260642 is an abundant number, since it is smaller than the sum of its proper divisors (33944290038).

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

26116260642 is a wasteful number, since it uses less digits than its factorization.

26116260642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209107 (or 209104 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 26116260642 in words is "twenty-six billion, one hundred sixteen million, two hundred sixty thousand, six hundred forty-two".