21322105205160 has 128 divisors (see below), whose sum is σ = 64197115678080. Its totient is φ = 5665386728448.

The previous prime is 21322105205111. The next prime is 21322105205197. The reversal of 21322105205160 is 6150250122312.

It is a super-2 number, since 2×21322105205160² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189350634 + ... + 189463206.

It is an arithmetic number, because the mean of its divisors is an integer number (501539966235).

Almost surely, 2^{21322105205160} is an apocalyptic number.

21322105205160 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 21322105205160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32098557839040).

21322105205160 is an abundant number, since it is smaller than the sum of its proper divisors (42875010472920).

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

21322105205160 is a wasteful number, since it uses less digits than its factorization.

21322105205160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118267 (or 118263 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 21322105205160 its reverse (6150250122312), we get a palindrome (27472355327472).

The spelling of 21322105205160 in words is "twenty-one trillion, three hundred twenty-two billion, one hundred five million, two hundred five thousand, one hundred sixty".