21829584384 has 240 divisors, whose sum is σ = 64160759520. Its totient is φ = 7144243200.

The previous prime is 21829584331. The next prime is 21829584389. The reversal of 21829584384 is 48348592812.

21829584384 is a `hidden beast` number, since 2 + 1 + 8 + 29 + 584 + 38 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 21829584384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21829584389) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95325582 + ... + 95325810.

It is an arithmetic number, because the mean of its divisors is an integer number (267336498).

Almost surely, 2^21829584384 is an apocalyptic number.

21829584384 is a gapful number since it is divisible by the number (24) 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 21829584384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32080379760).

21829584384 is an abundant number, since it is smaller than the sum of its proper divisors (42331175136).

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

21829584384 is a wasteful number, since it uses less digits than its factorization.

21829584384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 522 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The spelling of 21829584384 in words is "twenty-one billion, eight hundred twenty-nine million, five hundred eighty-four thousand, three hundred eighty-four".