205025344000 has 160 divisors (see below), whose sum is σ = 513187131600. Its totient is φ = 81698406400.

The previous prime is 205025343989. The next prime is 205025344003. The reversal of 205025344000 is 443520502.

It can be written as a sum of positive squares in 8 ways, for example, as 5623800064 + 199401543936 = 74992^2 + 446544^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (205025344003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17210046 + ... + 17221954.

Almost surely, 2^205025344000 is an apocalyptic number.

205025344000 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 205025344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256593565800).

205025344000 is an abundant number, since it is smaller than the sum of its proper divisors (308161787600).

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

205025344000 is an equidigital number, since it uses as much as digits as its factorization.

205025344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12211 (or 12185 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

Adding to 205025344000 its reverse (443520502), we get a palindrome (205468864502).

The spelling of 205025344000 in words is "two hundred five billion, twenty-five million, three hundred forty-four thousand".