21829807230 has 576 divisors, whose sum is σ = 71683024896. Its totient is φ = 4231180800.

The previous prime is 21829807229. The next prime is 21829807231. The reversal of 21829807230 is 3270892812.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21829807229) and next prime (21829807231).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21829807231) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 204016837 + ... + 204016943.

It is an arithmetic number, because the mean of its divisors is an integer number (124449696).

Almost surely, 2^21829807230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21829807230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35841512448).

21829807230 is an abundant number, since it is smaller than the sum of its proper divisors (49853217666).

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

21829807230 is a wasteful number, since it uses less digits than its factorization.

21829807230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 21829807230 in words is "twenty-one billion, eight hundred twenty-nine million, eight hundred seven thousand, two hundred thirty".