21893440000 has 200 divisors, whose sum is σ = 56451529728. Its totient is φ = 8471040000.

The previous prime is 21893439979. The next prime is 21893440013. The reversal of 21893440000 is 4439812.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (31).

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 19 ways as a sum of consecutive naturals, for example, 9918897 + ... + 9921103.

Almost surely, 2^21893440000 is an apocalyptic number.

21893440000 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 21893440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28225764864).

21893440000 is an abundant number, since it is smaller than the sum of its proper divisors (34558089728).

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

21893440000 is an frugal number, since it uses more digits than its factorization.

21893440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2276 (or 2245 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

Adding to 21893440000 its reverse (4439812), we get a palindrome (21897879812).

The spelling of 21893440000 in words is "twenty-one billion, eight hundred ninety-three million, four hundred forty thousand".