21633240000 has 280 divisors, whose sum is σ = 73285703568. Its totient is φ = 5626880000.

The previous prime is 21633239987. The next prime is 21633240011. The reversal of 21633240000 is 4233612.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4917802 + ... + 4922198.

Almost surely, 2^21633240000 is an apocalyptic number.

21633240000 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 21633240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36642851784).

21633240000 is an abundant number, since it is smaller than the sum of its proper divisors (51652463568).

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

21633240000 is an equidigital number, since it uses as much as digits as its factorization.

21633240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4473 (or 4448 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 21633240000 its reverse (4233612), we get a palindrome (21637473612).

The spelling of 21633240000 in words is "twenty-one billion, six hundred thirty-three million, two hundred forty thousand".