21882429288 has 240 divisors, whose sum is σ = 63626458500. Its totient is φ = 7024900608.

The previous prime is 21882429271. The next prime is 21882429293. The reversal of 21882429288 is 88292428812.

It can be written as a sum of positive squares in 2 ways, for example, as 21791073924 + 91355364 = 147618^2 + 9558^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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

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 59 ways as a sum of consecutive naturals, for example, 200756178 + ... + 200756286.

Almost surely, 2^21882429288 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 21882429288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31813229250).

21882429288 is an abundant number, since it is smaller than the sum of its proper divisors (41744029212).

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

21882429288 is a wasteful number, since it uses less digits than its factorization.

21882429288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 262 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 54.

The spelling of 21882429288 in words is "twenty-one billion, eight hundred eighty-two million, four hundred twenty-nine thousand, two hundred eighty-eight".