21082888224 has 288 divisors, whose sum is σ = 65899310400. Its totient is φ = 6539304960.

The previous prime is 21082888217. The next prime is 21082888279. The reversal of 21082888224 is 42288828012.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 21082888224.

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 47 ways as a sum of consecutive naturals, for example, 87480744 + ... + 87480984.

It is an arithmetic number, because the mean of its divisors is an integer number (228817050).

Almost surely, 2^21082888224 is an apocalyptic number.

21082888224 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 21082888224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32949655200).

21082888224 is an abundant number, since it is smaller than the sum of its proper divisors (44816422176).

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

21082888224 is a wasteful number, since it uses less digits than its factorization.

21082888224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 45.

The spelling of 21082888224 in words is "twenty-one billion, eighty-two million, eight hundred eighty-eight thousand, two hundred twenty-four".