20413125200 has 120 divisors (see below), whose sum is σ = 52868892216. Its totient is φ = 7529472000.

The previous prime is 20413125199. The next prime is 20413125203. The reversal of 20413125200 is 252131402.

It can be written as a sum of positive squares in 12 ways, for example, as 5658650176 + 14754475024 = 75224^2 + 121468^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20413125203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8948060 + ... + 8950340.

Almost surely, 2^20413125200 is an apocalyptic number.

20413125200 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 20413125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26434446108).

20413125200 is an abundant number, since it is smaller than the sum of its proper divisors (32455767016).

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

20413125200 is a wasteful number, since it uses less digits than its factorization.

20413125200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4033 (or 4022 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 20413125200 its reverse (252131402), we get a palindrome (20665256602).

The spelling of 20413125200 in words is "twenty billion, four hundred thirteen million, one hundred twenty-five thousand, two hundred".