21544544544512 has 576 divisors, whose sum is σ = 49536748800000. Its totient is φ = 9268653588480.

The previous prime is 21544544544473. The next prime is 21544544544553.

21544544544512 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 63 ways as a sum of consecutive naturals, for example, 144594258614 + ... + 144594258762.

It is an arithmetic number, because the mean of its divisors is an integer number (86001300000).

Almost surely, 2^{21544544544512} is an apocalyptic number.

21544544544512 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 21544544544512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24768374400000).

21544544544512 is an abundant number, since it is smaller than the sum of its proper divisors (27992204255488).

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

21544544544512 is a wasteful number, since it uses less digits than its factorization.

21544544544512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 506 counting only the distinct ones).

The product of its digits is 10240000, while the sum is 50.

It can be divided in two parts, 2154454 and 4544512, that added together give a palindrome (6698966).

The spelling of 21544544544512 in words is "twenty-one trillion, five hundred forty-four billion, five hundred forty-four million, five hundred forty-four thousand, five hundred twelve".