11660364672 has 128 divisors (see below), whose sum is σ = 34117873920. Its totient is φ = 3499008000.

The previous prime is 11660364649. The next prime is 11660364691. The reversal of 11660364672 is 27646306611.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 421672 + ... + 448472.

It is an arithmetic number, because the mean of its divisors is an integer number (266545890).

Almost surely, 2^11660364672 is an apocalyptic number.

11660364672 is a gapful number since it is divisible by the number (12) 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 11660364672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17058936960).

11660364672 is an abundant number, since it is smaller than the sum of its proper divisors (22457509248).

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

11660364672 is a wasteful number, since it uses less digits than its factorization.

11660364672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26932 (or 26920 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 11660364672 in words is "eleven billion, six hundred sixty million, three hundred sixty-four thousand, six hundred seventy-two".