11405602566 has 48 divisors (see below), whose sum is σ = 26243674704. Its totient is φ = 3567578112.

The previous prime is 11405602561. The next prime is 11405602567. The reversal of 11405602566 is 66520650411.

11405602566 is a `hidden beast` number, since 1 + 1 + 40 + 5 + 602 + 5 + 6 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11405602566.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11405602561) 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 23 ways as a sum of consecutive naturals, for example, 47821 + ... + 158423.

It is an arithmetic number, because the mean of its divisors is an integer number (546743223).

Almost surely, 2^11405602566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11405602566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13121837352).

11405602566 is an abundant number, since it is smaller than the sum of its proper divisors (14838072138).

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

11405602566 is a wasteful number, since it uses less digits than its factorization.

11405602566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110965 (or 110962 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 11405602566 in words is "eleven billion, four hundred five million, six hundred two thousand, five hundred sixty-six".