11584716672 has 64 divisors (see below), whose sum is σ = 30885730560. Its totient is φ = 3847288320.

The previous prime is 11584716653. The next prime is 11584716679. The reversal of 11584716672 is 27661748511.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11584716679) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48403 + ... + 159725.

It is an arithmetic number, because the mean of its divisors is an integer number (482589540).

Almost surely, 2^11584716672 is an apocalyptic number.

11584716672 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 11584716672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15442865280).

11584716672 is an abundant number, since it is smaller than the sum of its proper divisors (19301013888).

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

11584716672 is a wasteful number, since it uses less digits than its factorization.

11584716672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111611 (or 111599 counting only the distinct ones).

The product of its digits is 564480, while the sum is 48.

The spelling of 11584716672 in words is "eleven billion, five hundred eighty-four million, seven hundred sixteen thousand, six hundred seventy-two".