11001100009985 has 16 divisors (see below), whose sum is σ = 13367655873360. Its totient is φ = 8690568499200.

The previous prime is 11001100009969. The next prime is 11001100009993. The reversal of 11001100009985 is 58990000110011.

It can be written as a sum of positive squares in 8 ways, for example, as 1321092774544 + 9680007235441 = 1149388^2 + 3111271^2 .

It is not a de Polignac number, because 11001100009985 - 2⁴ = 11001100009969 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36039416 + ... + 36343385.

It is an arithmetic number, because the mean of its divisors is an integer number (835478492085).

Almost surely, 2^{11001100009985} is an apocalyptic number.

It is an amenable number.

11001100009985 is a deficient number, since it is larger than the sum of its proper divisors (2366555863375).

11001100009985 is a wasteful number, since it uses less digits than its factorization.

11001100009985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72383188.

The product of its (nonzero) digits is 3240, while the sum is 35.

Adding to 11001100009985 its reverse (58990000110011), we get a palindrome (69991100119996).

The spelling of 11001100009985 in words is "eleven trillion, one billion, one hundred million, nine thousand, nine hundred eighty-five".