21779884224 has 672 divisors, whose sum is σ = 80338452480. Its totient is φ = 5498025984.

The previous prime is 21779884219. The next prime is 21779884253. The reversal of 21779884224 is 42248897712.

It is a tau number, because it is divible by the number of its divisors (672).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82813117 + ... + 82813379.

Almost surely, 2^21779884224 is an apocalyptic number.

21779884224 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 21779884224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40169226240).

21779884224 is an abundant number, since it is smaller than the sum of its proper divisors (58558568256).

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

21779884224 is a wasteful number, since it uses less digits than its factorization.

21779884224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 364 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The spelling of 21779884224 in words is "twenty-one billion, seven hundred seventy-nine million, eight hundred eighty-four thousand, two hundred twenty-four".