11006511066162 has 256 divisors, whose sum is σ = 25644591498240. Its totient is φ = 3496885862400.

The previous prime is 11006511066137. The next prime is 11006511066163. The reversal of 11006511066162 is 26166011560011.

It is a super-2 number, since 2×11006511066162² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11006511066163) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 5753533318 + ... + 5753535230.

It is an arithmetic number, because the mean of its divisors is an integer number (100174185540).

Almost surely, 2^{11006511066162} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11006511066162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12822295749120).

11006511066162 is an abundant number, since it is smaller than the sum of its proper divisors (14638080432078).

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

11006511066162 is a wasteful number, since it uses less digits than its factorization.

11006511066162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2466 (or 2460 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 11006511066162 in words is "eleven trillion, six billion, five hundred eleven million, sixty-six thousand, one hundred sixty-two".