21882283584 has 504 divisors, whose sum is σ = 75460494240. Its totient is φ = 5559902208.

The previous prime is 21882283541. The next prime is 21882283589. The reversal of 21882283584 is 48538228812.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21882283589) 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 71 ways as a sum of consecutive naturals, for example, 57736707 + ... + 57737085.

Almost surely, 2^21882283584 is an apocalyptic number.

21882283584 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 21882283584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37730247120).

21882283584 is an abundant number, since it is smaller than the sum of its proper divisors (53578210656).

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

21882283584 is a wasteful number, since it uses less digits than its factorization.

21882283584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 427 counting only the distinct ones).

The product of its digits is 1966080, while the sum is 51.

The spelling of 21882283584 in words is "twenty-one billion, eight hundred eighty-two million, two hundred eighty-three thousand, five hundred eighty-four".