205830055200 has 1728 divisors, whose sum is σ = 923430896640. Its totient is φ = 38568960000.

The previous prime is 205830055187. The next prime is 205830055213. The reversal of 205830055200 is 2550038502.

205830055200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (205830055187) and next prime (205830055213).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3374263170 + ... + 3374263230.

It is an arithmetic number, because the mean of its divisors is an integer number (534392880).

Almost surely, 2^205830055200 is an apocalyptic number.

205830055200 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 205830055200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461715448320).

205830055200 is an abundant number, since it is smaller than the sum of its proper divisors (717600841440).

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

205830055200 is a wasteful number, since it uses less digits than its factorization.

205830055200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 205830055200 in words is "two hundred five billion, eight hundred thirty million, fifty-five thousand, two hundred".