11011601605005 has 12 divisors (see below), whose sum is σ = 19086776115420. Its totient is φ = 5872854189312.

The previous prime is 11011601604973. The next prime is 11011601605013. The reversal of 11011601605005 is 50050610611011.

11011601605005 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 1 + 601 + 6 + 0 + 50 + 0 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1504653049449 + 9506948555556 = 1226643^2 + 3083334^2 .

It is not a de Polignac number, because 11011601605005 - 2⁵ = 11011601604973 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11011601605005.

It is a congruent number.

It is an unprimeable number.

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, 122351128900 + ... + 122351128989.

It is an arithmetic number, because the mean of its divisors is an integer number (1590564676285).

Almost surely, 2^{11011601605005} is an apocalyptic number.

11011601605005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11011601605005 is a deficient number, since it is larger than the sum of its proper divisors (8075174510415).

11011601605005 is a wasteful number, since it uses less digits than its factorization.

11011601605005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244702257900 (or 244702257897 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

The spelling of 11011601605005 in words is "eleven trillion, eleven billion, six hundred one million, six hundred five thousand, five".