205535120000 has 160 divisors (see below), whose sum is σ = 584763690720. Its totient is φ = 70468992000.

The previous prime is 205535119961. The next prime is 205535120003. The reversal of 205535120000 is 21535502.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (205535120003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 376487 + ... + 743513.

It is an arithmetic number, because the mean of its divisors is an integer number (3654773067).

Almost surely, 2^205535120000 is an apocalyptic number.

205535120000 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 205535120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292381845360).

205535120000 is an abundant number, since it is smaller than the sum of its proper divisors (379228570720).

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

205535120000 is an frugal number, since it uses more digits than its factorization.

205535120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367068 (or 367041 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 23.

Adding to 205535120000 its reverse (21535502), we get a palindrome (205556655502).

The spelling of 205535120000 in words is "two hundred five billion, five hundred thirty-five million, one hundred twenty thousand".