21675382272 has 240 divisors, whose sum is σ = 65686420800. Its totient is φ = 7134676992.

The previous prime is 21675382247. The next prime is 21675382283. The reversal of 21675382272 is 27228357612.

21675382272 is a `hidden beast` number, since 21 + 6 + 7 + 538 + 22 + 72 = 666.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 10325479 + ... + 10327577.

It is an arithmetic number, because the mean of its divisors is an integer number (273693420).

Almost surely, 2^21675382272 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 21675382272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32843210400).

21675382272 is an abundant number, since it is smaller than the sum of its proper divisors (44011038528).

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

21675382272 is an frugal number, since it uses more digits than its factorization.

21675382272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2215 (or 2187 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The spelling of 21675382272 in words is "twenty-one billion, six hundred seventy-five million, three hundred eighty-two thousand, two hundred seventy-two".