21584048512 has 64 divisors (see below), whose sum is σ = 46602637200. Its totient is φ = 9898297344.

The previous prime is 21584048503. The next prime is 21584048513.

21584048512 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21584048513) 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 7 ways as a sum of consecutive naturals, for example, 219939 + ... + 302557.

Almost surely, 2^21584048512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21584048512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23301318600).

21584048512 is an abundant number, since it is smaller than the sum of its proper divisors (25018588688).

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

21584048512 is a wasteful number, since it uses less digits than its factorization.

21584048512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82803 (or 82791 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 40.

The spelling of 21584048512 in words is "twenty-one billion, five hundred eighty-four million, forty-eight thousand, five hundred twelve".