205620145200 has 180 divisors, whose sum is σ = 720229145688. Its totient is φ = 54319488000.

The previous prime is 205620145189. The next prime is 205620145207. The reversal of 205620145200 is 2541026502.

205620145200 is a `hidden beast` number, since 2 + 0 + 5 + 6 + 201 + 452 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×205620145200² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (205620145207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 118300 + ... + 652100.

Almost surely, 2^205620145200 is an apocalyptic number.

205620145200 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 205620145200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360114572844).

205620145200 is an abundant number, since it is smaller than the sum of its proper divisors (514609000488).

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

205620145200 is a wasteful number, since it uses less digits than its factorization.

205620145200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533932 (or 533918 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 205620145200 in words is "two hundred five billion, six hundred twenty million, one hundred forty-five thousand, two hundred".