205055506000 has 40 divisors (see below), whose sum is σ = 495824218344. Its totient is φ = 82022201600.

The previous prime is 205055505959. The next prime is 205055506003. The reversal of 205055506000 is 605550502.

It can be written as a sum of positive squares in 4 ways, for example, as 59113169424 + 145942336576 = 243132^2 + 382024^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 205055506000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205055506003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51261877 + ... + 51265876.

Almost surely, 2^205055506000 is an apocalyptic number.

205055506000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205055506000 is an abundant number, since it is smaller than the sum of its proper divisors (290768712344).

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

205055506000 is a wasteful number, since it uses less digits than its factorization.

205055506000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102527776 (or 102527760 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 28.

The spelling of 205055506000 in words is "two hundred five billion, fifty-five million, five hundred six thousand".