11584688480 has 96 divisors (see below), whose sum is σ = 28344121344. Its totient is φ = 4471358976.

The previous prime is 11584688477. The next prime is 11584688497. The reversal of 11584688480 is 8488648511.

It is a congruent number.

It is an unprimeable number.

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, 560897 + ... + 581183.

It is an arithmetic number, because the mean of its divisors is an integer number (295251264).

Almost surely, 2^11584688480 is an apocalyptic number.

11584688480 is a gapful number since it is divisible by the number (10) 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 11584688480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14172060672).

11584688480 is an abundant number, since it is smaller than the sum of its proper divisors (16759432864).

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

11584688480 is a wasteful number, since it uses less digits than its factorization.

11584688480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20428 (or 20420 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 53.

The spelling of 11584688480 in words is "eleven billion, five hundred eighty-four million, six hundred eighty-eight thousand, four hundred eighty".