205545252000000 has 1008 divisors, whose sum is σ = 770046703276032. Its totient is φ = 48220800000000.

The previous prime is 205545251999977. The next prime is 205545252000001. The reversal of 205545252000000 is 252545502.

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

It is not an unprimeable number, because it can be changed into a prime (205545252000001) 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 111 ways as a sum of consecutive naturals, for example, 4091974885 + ... + 4092025115.

It is an arithmetic number, because the mean of its divisors is an integer number (763935221504).

Almost surely, 2^{205545252000000} is an apocalyptic number.

205545252000000 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 205545252000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385023351638016).

205545252000000 is an abundant number, since it is smaller than the sum of its proper divisors (564501451276032).

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

205545252000000 is an frugal number, since it uses more digits than its factorization.

205545252000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50322 (or 50283 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 30.

The spelling of 205545252000000 in words is "two hundred five trillion, five hundred forty-five billion, two hundred fifty-two million", and thus it is an aban number.