21422112768000 has 1520 divisors, whose sum is σ = 91363947115584. Its totient is φ = 4892236185600.

The previous prime is 21422112767963. The next prime is 21422112768047. The reversal of 21422112768000 is 86721122412.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18579455424 + ... + 18579456576.

Almost surely, 2^{21422112768000} is an apocalyptic number.

21422112768000 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 21422112768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45681973557792).

21422112768000 is an abundant number, since it is smaller than the sum of its proper divisors (69941834347584).

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

21422112768000 is an frugal number, since it uses more digits than its factorization.

21422112768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 21422112768000 in words is "twenty-one trillion, four hundred twenty-two billion, one hundred twelve million, seven hundred sixty-eight thousand".