11006661165640 has 64 divisors (see below), whose sum is σ = 28905031180800. Its totient is φ = 3693420642048.

The previous prime is 11006661165613. The next prime is 11006661165671. The reversal of 11006661165640 is 4656116660011.

It is a super-2 number, since 2×11006661165640² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 418173055 + ... + 418199374.

It is an arithmetic number, because the mean of its divisors is an integer number (451641112200).

Almost surely, 2^{11006661165640} is an apocalyptic number.

11006661165640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11006661165640 is an abundant number, since it is smaller than the sum of its proper divisors (17898370015160).

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

11006661165640 is a wasteful number, since it uses less digits than its factorization.

11006661165640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836372494 (or 836372490 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The spelling of 11006661165640 in words is "eleven trillion, six billion, six hundred sixty-one million, one hundred sixty-five thousand, six hundred forty".