22513245040000 has 640 divisors, whose sum is σ = 65937499246080. Its totient is φ = 7546106880000.

The previous prime is 22513245039997. The next prime is 22513245040087. The reversal of 22513245040000 is 4054231522.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15180879259 + ... + 15180880741.

It is an arithmetic number, because the mean of its divisors is an integer number (103027342572).

Almost surely, 2^{22513245040000} is an apocalyptic number.

22513245040000 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 22513245040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32968749623040).

22513245040000 is an abundant number, since it is smaller than the sum of its proper divisors (43424254206080).

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

22513245040000 is a wasteful number, since it uses less digits than its factorization.

22513245040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2868 (or 2841 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

Adding to 22513245040000 its reverse (4054231522), we get a palindrome (22517299271522).

The spelling of 22513245040000 in words is "twenty-two trillion, five hundred thirteen billion, two hundred forty-five million, forty thousand".