11605550006664 has 192 divisors, whose sum is σ = 32850700122240. Its totient is φ = 3838330022400.

The previous prime is 11605550006647. The next prime is 11605550006671. The reversal of 11605550006664 is 46660005550611.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 251544142 + ... + 251590274.

It is an arithmetic number, because the mean of its divisors is an integer number (171097396470).

Almost surely, 2^{11605550006664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11605550006664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16425350061120).

11605550006664 is an abundant number, since it is smaller than the sum of its proper divisors (21245150115576).

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

11605550006664 is a wasteful number, since it uses less digits than its factorization.

11605550006664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47162 (or 47146 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 11605550006664 in words is "eleven trillion, six hundred five billion, five hundred fifty million, six thousand, six hundred sixty-four".