21200332032 has 216 divisors, whose sum is σ = 67095362880. Its totient is φ = 6384599040.

The previous prime is 21200332009. The next prime is 21200332033. The reversal of 21200332032 is 23023300212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21200331996 and 21200332014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21200332033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4229944 + ... + 4234952.

It is an arithmetic number, because the mean of its divisors is an integer number (310626680).

Almost surely, 2^21200332032 is an apocalyptic number.

21200332032 is a gapful number since it is divisible by the number (22) 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 21200332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33547681440).

21200332032 is an abundant number, since it is smaller than the sum of its proper divisors (45895030848).

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

21200332032 is a wasteful number, since it uses less digits than its factorization.

21200332032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5209 (or 5192 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 21200332032 its reverse (23023300212), we get a palindrome (44223632244).

The spelling of 21200332032 in words is "twenty-one billion, two hundred million, three hundred thirty-two thousand, thirty-two".