205455224000 has 224 divisors, whose sum is σ = 551483028096. Its totient is φ = 75371212800.

The previous prime is 205455223997. The next prime is 205455224003. The reversal of 205455224000 is 422554502.

It is an interprime number because it is at equal distance from previous prime (205455223997) and next prime (205455224003).

It is not an unprimeable number, because it can be changed into a prime (205455224003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16321709 + ... + 16334291.

It is an arithmetic number, because the mean of its divisors is an integer number (2461977804).

Almost surely, 2^205455224000 is an apocalyptic number.

205455224000 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 205455224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275741514048).

205455224000 is an abundant number, since it is smaller than the sum of its proper divisors (346027804096).

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

205455224000 is a wasteful number, since it uses less digits than its factorization.

205455224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12780 (or 12760 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 29.

Adding to 205455224000 its reverse (422554502), we get a palindrome (205877778502).

The spelling of 205455224000 in words is "two hundred five billion, four hundred fifty-five million, two hundred twenty-four thousand".