21418768000 has 384 divisors, whose sum is σ = 63202464000. Its totient is φ = 7070976000.

The previous prime is 21418767991. The next prime is 21418768073. The reversal of 21418768000 is 86781412.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107631901 + ... + 107632099.

It is an arithmetic number, because the mean of its divisors is an integer number (164589750).

Almost surely, 2^21418768000 is an apocalyptic number.

21418768000 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 21418768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31601232000).

21418768000 is an abundant number, since it is smaller than the sum of its proper divisors (41783696000).

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

21418768000 is an equidigital number, since it uses as much as digits as its factorization.

21418768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The spelling of 21418768000 in words is "twenty-one billion, four hundred eighteen million, seven hundred sixty-eight thousand".