11009655648 has 96 divisors (see below), whose sum is σ = 32146218720. Its totient is φ = 3665917440.

The previous prime is 11009655623. The next prime is 11009655649. The reversal of 11009655648 is 84655690011.

11009655648 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 96 + 556 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11009655649) by changing a digit.

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, 855018 + ... + 867798.

It is an arithmetic number, because the mean of its divisors is an integer number (334856445).

Almost surely, 2^11009655648 is an apocalyptic number.

11009655648 is a gapful number since it is divisible by the number (18) 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 11009655648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16073109360).

11009655648 is an abundant number, since it is smaller than the sum of its proper divisors (21136563072).

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

11009655648 is a wasteful number, since it uses less digits than its factorization.

11009655648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13797 (or 13783 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 11009655648 in words is "eleven billion, nine million, six hundred fifty-five thousand, six hundred forty-eight".