21242511360000 has 2000 divisors, whose sum is σ = 91753709883000. Its totient is φ = 4855431168000.

The previous prime is 21242511359987. The next prime is 21242511360001. The reversal of 21242511360000 is 6311524212.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

21242511360000 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 2 + 51 + 1 + 3 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2000).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21242511360001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 3034644479997 + ... + 3034644480003.

Almost surely, 2^{21242511360000} is an apocalyptic number.

21242511360000 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 21242511360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45876854941500).

21242511360000 is an abundant number, since it is smaller than the sum of its proper divisors (70511198523000).

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

21242511360000 is an frugal number, since it uses more digits than its factorization.

21242511360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 17 counting only the distinct ones).

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

Adding to 21242511360000 its reverse (6311524212), we get a palindrome (21248822884212).

The spelling of 21242511360000 in words is "twenty-one trillion, two hundred forty-two billion, five hundred eleven million, three hundred sixty thousand".