205234125200 has 480 divisors, whose sum is σ = 585862502400. Its totient is φ = 68362076160.

The previous prime is 205234125199. The next prime is 205234125221. The reversal of 205234125200 is 2521432502.

205234125200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×205234125200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 205234125200.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 571682621 + ... + 571682979.

It is an arithmetic number, because the mean of its divisors is an integer number (1220546880).

Almost surely, 2^205234125200 is an apocalyptic number.

205234125200 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 205234125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292931251200).

205234125200 is an abundant number, since it is smaller than the sum of its proper divisors (380628377200).

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

205234125200 is a wasteful number, since it uses less digits than its factorization.

205234125200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

Adding to 205234125200 its reverse (2521432502), we get a palindrome (207755557702).

The spelling of 205234125200 in words is "two hundred five billion, two hundred thirty-four million, one hundred twenty-five thousand, two hundred".