11278065582801 has 12 divisors (see below), whose sum is σ = 16473578942340. Its totient is φ = 7434230496000.

The previous prime is 11278065582787. The next prime is 11278065582809. The reversal of 11278065582801 is 10828556087211.

It is a happy number.

11278065582801 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 8 + 0 + 6 + 558 + 2 + 80 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6378660411201 + 4899405171600 = 2525601^2 + 2213460^2 .

It is not a de Polignac number, because 11278065582801 - 2¹⁰ = 11278065581777 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11278065582809) 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 11 ways as a sum of consecutive naturals, for example, 7039990200 + ... + 7039991801.

It is an arithmetic number, because the mean of its divisors is an integer number (1372798245195).

Almost surely, 2^{11278065582801} is an apocalyptic number.

It is an amenable number.

11278065582801 is a deficient number, since it is larger than the sum of its proper divisors (5195513359539).

11278065582801 is a wasteful number, since it uses less digits than its factorization.

11278065582801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14079982096 (or 14079982093 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 54.

The spelling of 11278065582801 in words is "eleven trillion, two hundred seventy-eight billion, sixty-five million, five hundred eighty-two thousand, eight hundred one".