21513014002240 has 224 divisors, whose sum is σ = 53650355650560. Its totient is φ = 8201066649600.

The previous prime is 21513014002237. The next prime is 21513014002241. The reversal of 21513014002240 is 4220041031512.

It is not an unprimeable number, because it can be changed into a prime (21513014002241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2436074625 + ... + 2436083455.

Almost surely, 2^{21513014002240} is an apocalyptic number.

21513014002240 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 21513014002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26825177825280).

21513014002240 is an abundant number, since it is smaller than the sum of its proper divisors (32137341648320).

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

21513014002240 is a wasteful number, since it uses less digits than its factorization.

21513014002240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10041 (or 10031 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 21513014002240 its reverse (4220041031512), we get a palindrome (25733055033752).

The spelling of 21513014002240 in words is "twenty-one trillion, five hundred thirteen billion, fourteen million, two thousand, two hundred forty".