21888222272 has 112 divisors (see below), whose sum is σ = 50657808768. Its totient is φ = 9190195200.

The previous prime is 21888222269. The next prime is 21888222283. The reversal of 21888222272 is 27222288812.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4386563 + ... + 4391549.

It is an arithmetic number, because the mean of its divisors is an integer number (452301864).

Almost surely, 2^21888222272 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 21888222272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25328904384).

21888222272 is an abundant number, since it is smaller than the sum of its proper divisors (28769586496).

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

21888222272 is a wasteful number, since it uses less digits than its factorization.

21888222272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5204 (or 5194 counting only the distinct ones).

The product of its digits is 229376, while the sum is 44.

The spelling of 21888222272 in words is "twenty-one billion, eight hundred eighty-eight million, two hundred twenty-two thousand, two hundred seventy-two".