11005162511661 has 16 divisors (see below), whose sum is σ = 16349359363200. Its totient is φ = 7316338302144.

The previous prime is 11005162511627. The next prime is 11005162511669. The reversal of 11005162511661 is 16611526150011.

11005162511661 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 516 + 25 + 116 + 6 + 1 = 666.

It is not a de Polignac number, because 11005162511661 - 2⁶ = 11005162511597 is a prime.

It is a super-2 number, since 2×11005162511661² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11005162511669) 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, 567676396 + ... + 567695781.

It is an arithmetic number, because the mean of its divisors is an integer number (1021834960200).

Almost surely, 2^{11005162511661} is an apocalyptic number.

It is an amenable number.

11005162511661 is a deficient number, since it is larger than the sum of its proper divisors (5344196851539).

11005162511661 is a wasteful number, since it uses less digits than its factorization.

11005162511661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135372545 (or 1135372539 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 36.

Adding to 11005162511661 its reverse (16611526150011), we get a palindrome (27616688661672).

The spelling of 11005162511661 in words is "eleven trillion, five billion, one hundred sixty-two million, five hundred eleven thousand, six hundred sixty-one".