11006661165621 has 64 divisors (see below), whose sum is σ = 16491410030592. Its totient is φ = 6471887040000.

The previous prime is 11006661165613. The next prime is 11006661165671. The reversal of 11006661165621 is 12656116660011.

It is not a de Polignac number, because 11006661165621 - 2³ = 11006661165613 is a prime.

It is a super-2 number, since 2×11006661165621² (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 (11006661165601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 198336940 + ... + 198392426.

It is an arithmetic number, because the mean of its divisors is an integer number (257678281728).

Almost surely, 2^{11006661165621} is an apocalyptic number.

11006661165621 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11006661165621 is a deficient number, since it is larger than the sum of its proper divisors (5484748864971).

11006661165621 is a wasteful number, since it uses less digits than its factorization.

11006661165621 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56354.

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 11006661165621 in words is "eleven trillion, six billion, six hundred sixty-one million, one hundred sixty-five thousand, six hundred twenty-one".