11065006656 has 126 divisors (see below), whose sum is σ = 34861436246. Its totient is φ = 3353011200.

The previous prime is 11065006643. The next prime is 11065006657. The reversal of 11065006656 is 65660056011.

It can be written as a sum of positive squares in only one way, i.e., 6915585600 + 4149421056 = 83160^2 + 64416^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11065006656.

It is not an unprimeable number, because it can be changed into a prime (11065006657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9685 + ... + 149076.

Almost surely, 2^11065006656 is an apocalyptic number.

11065006656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11065006656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17430718123).

11065006656 is an abundant number, since it is smaller than the sum of its proper divisors (23796429590).

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

11065006656 is a wasteful number, since it uses less digits than its factorization.

11065006656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158801 (or 158777 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 11065006656 in words is "eleven billion, sixty-five million, six thousand, six hundred fifty-six".