21738864000 has 1024 divisors, whose sum is σ = 89820057600. Its totient is φ = 4541644800.

The previous prime is 21738863999. The next prime is 21738864047. The reversal of 21738864000 is 46883712.

It is a self number, because there is not a number n which added to its sum of digits gives 21738864000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 224111952 + ... + 224112048.

It is an arithmetic number, because the mean of its divisors is an integer number (87714900).

Almost surely, 2^21738864000 is an apocalyptic number.

21738864000 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 21738864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44910028800).

21738864000 is an abundant number, since it is smaller than the sum of its proper divisors (68081193600).

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

21738864000 is a wasteful number, since it uses less digits than its factorization.

21738864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 21738864000 in words is "twenty-one billion, seven hundred thirty-eight million, eight hundred sixty-four thousand".