205225531200 has 336 divisors, whose sum is σ = 749490154560. Its totient is φ = 54626826240.

The previous prime is 205225531183. The next prime is 205225531243. The reversal of 205225531200 is 2135522502.

205225531200 is a `hidden beast` number, since 205 + 2 + 255 + 3 + 1 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25354354 + ... + 25362446.

It is an arithmetic number, because the mean of its divisors is an integer number (2230625460).

Almost surely, 2^205225531200 is an apocalyptic number.

205225531200 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 205225531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374745077280).

205225531200 is an abundant number, since it is smaller than the sum of its proper divisors (544264623360).

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

205225531200 is a wasteful number, since it uses less digits than its factorization.

205225531200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8711 (or 8690 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The spelling of 205225531200 in words is "two hundred five billion, two hundred twenty-five million, five hundred thirty-one thousand, two hundred".