21323632000 has 128 divisors (see below), whose sum is σ = 57835982880. Its totient is φ = 7753984000.

The previous prime is 21323631907. The next prime is 21323632003. The reversal of 21323632000 is 23632312.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21323632003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115422 + ... + 236578.

Almost surely, 2^21323632000 is an apocalyptic number.

21323632000 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 21323632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28917991440).

21323632000 is an abundant number, since it is smaller than the sum of its proper divisors (36512350880).

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

21323632000 is a wasteful number, since it uses less digits than its factorization.

21323632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121197 (or 121175 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The spelling of 21323632000 in words is "twenty-one billion, three hundred twenty-three million, six hundred thirty-two thousand".