11005166000 has 40 divisors (see below), whose sum is σ = 26610496224. Its totient is φ = 4402065600.

The previous prime is 11005165993. The next prime is 11005166009. The reversal of 11005166000 is 66150011.

It is a happy number.

11005166000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×11005166000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (11005166009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2749292 + ... + 2753291.

Almost surely, 2^11005166000 is an apocalyptic number.

11005166000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11005166000 is an abundant number, since it is smaller than the sum of its proper divisors (15605330224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11005166000 is an equidigital number, since it uses as much as digits as its factorization.

11005166000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5502606 (or 5502590 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The spelling of 11005166000 in words is "eleven billion, five million, one hundred sixty-six thousand".