21132244320 has 288 divisors, whose sum is σ = 75224298240. Its totient is φ = 4945274880.

The previous prime is 21132244279. The next prime is 21132244321. The reversal of 21132244320 is 2344223112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21132244321) 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 47 ways as a sum of consecutive naturals, for example, 4438101 + ... + 4442859.

It is an arithmetic number, because the mean of its divisors is an integer number (261195480).

Almost surely, 2^21132244320 is an apocalyptic number.

21132244320 is a gapful number since it is divisible by the number (20) 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 21132244320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37612149120).

21132244320 is an abundant number, since it is smaller than the sum of its proper divisors (54092053920).

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

21132244320 is a wasteful number, since it uses less digits than its factorization.

21132244320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4846 (or 4809 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 21132244320 its reverse (2344223112), we get a palindrome (23476467432).

The spelling of 21132244320 in words is "twenty-one billion, one hundred thirty-two million, two hundred forty-four thousand, three hundred twenty".