26948242249601 has 16 divisors (see below), whose sum is σ = 27161240619600. Its totient is φ = 26735787586560.

The previous prime is 26948242249549. The next prime is 26948242249631. The reversal of 26948242249601 is 10694224284962.

It can be written as a sum of positive squares in 8 ways, for example, as 14897284090000 + 12050958159601 = 3859700^2 + 3471449^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-26948242249601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26948242249631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 444535445 + ... + 444596061.

It is an arithmetic number, because the mean of its divisors is an integer number (1697577538725).

Almost surely, 2^{26948242249601} is an apocalyptic number.

It is an amenable number.

26948242249601 is a deficient number, since it is larger than the sum of its proper divisors (212998369999).

26948242249601 is a wasteful number, since it uses less digits than its factorization.

26948242249601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65044.

The product of its (nonzero) digits is 23887872, while the sum is 59.

The spelling of 26948242249601 in words is "twenty-six trillion, nine hundred forty-eight billion, two hundred forty-two million, two hundred forty-nine thousand, six hundred one".