21632000000 has 294 divisors, whose sum is σ = 58555676259. Its totient is φ = 7987200000.

The previous prime is 21631999999. The next prime is 21632000003. The reversal of 21632000000 is 23612.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 11 ways, for example, as 21611352064 + 20647936 = 147008^2 + 4544^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=104000.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21632000003) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 1663999994 + ... + 1664000006.

Almost surely, 2^21632000000 is an apocalyptic number.

21632000000 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 21632000000

21632000000 is an abundant number, since it is smaller than the sum of its proper divisors (36923676259).

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

21632000000 is an frugal number, since it uses more digits than its factorization.

21632000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Multiplying 21632000000 by its product of nonzero digits (72), we get a square (1557504000000 = 1248000²).

Adding to 21632000000 its reverse (23612), we get a palindrome (21632023612).

The spelling of 21632000000 in words is "twenty-one billion, six hundred thirty-two million", and thus it is an aban number.