21105222304320 has 2688 divisors, whose sum is σ = 101817658736640. Its totient is φ = 3993255936000.

The previous prime is 21105222304253. The next prime is 21105222304333. The reversal of 21105222304320 is 2340322250112.

21105222304320 is a `hidden beast` number, since 2 + 1 + 1 + 0 + 5 + 2 + 223 + 0 + 432 + 0 = 666.

21105222304320 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5960241750 + ... + 5960245290.

It is an arithmetic number, because the mean of its divisors is an integer number (37878593280).

Almost surely, 2^{21105222304320} is an apocalyptic number.

21105222304320 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 21105222304320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50908829368320).

21105222304320 is an abundant number, since it is smaller than the sum of its proper divisors (80712436432320).

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

21105222304320 is a wasteful number, since it uses less digits than its factorization.

21105222304320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3650 (or 3617 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 21105222304320 its reverse (2340322250112), we get a palindrome (23445544554432).

The spelling of 21105222304320 in words is "twenty-one trillion, one hundred five billion, two hundred twenty-two million, three hundred four thousand, three hundred twenty".