21130016544000 has 1728 divisors, whose sum is σ = 93791014087680. Its totient is φ = 4448054476800.

The previous prime is 21130016543957. The next prime is 21130016544047. The reversal of 21130016544000 is 44561003112.

It is a happy number.

21130016544000 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 0 + 0 + 1 + 654 + 4 + 0 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19053215446 + ... + 19053216554.

Almost surely, 2^{21130016544000} is an apocalyptic number.

21130016544000 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 21130016544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46895507043840).

21130016544000 is an abundant number, since it is smaller than the sum of its proper divisors (72660997543680).

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

21130016544000 is a wasteful number, since it uses less digits than its factorization.

21130016544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1893 (or 1866 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 21130016544000 its reverse (44561003112), we get a palindrome (21174577547112).

The spelling of 21130016544000 in words is "twenty-one trillion, one hundred thirty billion, sixteen million, five hundred forty-four thousand".