21728444482712 has 128 divisors (see below), whose sum is σ = 45112835174400. Its totient is φ = 9729104486400.

The previous prime is 21728444482609. The next prime is 21728444482817.

21728444482712 is nontrivially palindromic in base 10.

It is a congruent number.

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, 1920995537 + ... + 1921006847.

It is an arithmetic number, because the mean of its divisors is an integer number (352444024800).

Almost surely, 2^{21728444482712} is an apocalyptic number.

21728444482712 is a gapful number since it is divisible by the number (22) 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 21728444482712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22556417587200).

21728444482712 is an abundant number, since it is smaller than the sum of its proper divisors (23384390691688).

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

21728444482712 is a wasteful number, since it uses less digits than its factorization.

21728444482712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12457 (or 12453 counting only the distinct ones).

The product of its digits is 12845056, while the sum is 56.

The spelling of 21728444482712 in words is "twenty-one trillion, seven hundred twenty-eight billion, four hundred forty-four million, four hundred eighty-two thousand, seven hundred twelve".