20424045525200 has 120 divisors (see below), whose sum is σ = 49179865959000. Its totient is φ = 8151142113280.

The previous prime is 20424045525197. The next prime is 20424045525263. The reversal of 20424045525200 is 252554042402.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 5178519204496 + 15245526320704 = 2275636^2 + 3904552^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 324319316 + ... + 324382284.

It is an arithmetic number, because the mean of its divisors is an integer number (409832216325).

Almost surely, 2^{20424045525200} is an apocalyptic number.

20424045525200 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 20424045525200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24589932979500).

20424045525200 is an abundant number, since it is smaller than the sum of its proper divisors (28755820433800).

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

20424045525200 is a wasteful number, since it uses less digits than its factorization.

20424045525200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64809 (or 64798 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 35.

Adding to 20424045525200 its reverse (252554042402), we get a palindrome (20676599567602).

The spelling of 20424045525200 in words is "twenty trillion, four hundred twenty-four billion, forty-five million, five hundred twenty-five thousand, two hundred".