21252408288 has 96 divisors (see below), whose sum is σ = 59330444544. Its totient is φ = 6637934592.

The previous prime is 21252408277. The next prime is 21252408293. The reversal of 21252408288 is 88280425212.

It is a tau number, because it is divible by the number of its divisors (96).

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, 341781 + ... + 399147.

It is an arithmetic number, because the mean of its divisors is an integer number (618025464).

Almost surely, 2^21252408288 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 21252408288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29665222272).

21252408288 is an abundant number, since it is smaller than the sum of its proper divisors (38078036256).

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

21252408288 is a wasteful number, since it uses less digits than its factorization.

21252408288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57624 (or 57616 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 42.

The spelling of 21252408288 in words is "twenty-one billion, two hundred fifty-two million, four hundred eight thousand, two hundred eighty-eight".