21874275072 has 144 divisors (see below), whose sum is σ = 69662218080. Its totient is φ = 6730518528.

The previous prime is 21874275067. The next prime is 21874275083. The reversal of 21874275072 is 27057247812.

21874275072 is a `hidden beast` number, since 21 + 87 + 42 + 7 + 507 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31863 + ... + 211574.

Almost surely, 2^21874275072 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 21874275072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34831109040).

21874275072 is an abundant number, since it is smaller than the sum of its proper divisors (47787943008).

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

21874275072 is a wasteful number, since it uses less digits than its factorization.

21874275072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243475 (or 243455 counting only the distinct ones).

The product of its (nonzero) digits is 439040, while the sum is 45.

The spelling of 21874275072 in words is "twenty-one billion, eight hundred seventy-four million, two hundred seventy-five thousand, seventy-two".