205405211200 has 168 divisors, whose sum is σ = 591718627584. Its totient is φ = 68706816000.

The previous prime is 205405211189. The next prime is 205405211213. The reversal of 205405211200 is 2112504502.

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, 235545 + ... + 682855.

It is an arithmetic number, because the mean of its divisors is an integer number (3522134688).

Almost surely, 2^205405211200 is an apocalyptic number.

205405211200 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 205405211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295859313792).

205405211200 is an abundant number, since it is smaller than the sum of its proper divisors (386313416384).

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

205405211200 is a wasteful number, since it uses less digits than its factorization.

205405211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447381 (or 447366 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

Adding to 205405211200 its reverse (2112504502), we get a palindrome (207517715702).

The spelling of 205405211200 in words is "two hundred five billion, four hundred five million, two hundred eleven thousand, two hundred".