205355003400 has 72 divisors (see below), whose sum is σ = 689650559130. Its totient is φ = 54761333760.

The previous prime is 205355003369. The next prime is 205355003443. The reversal of 205355003400 is 4300553502.

205355003400 is a `hidden beast` number, since 20 + 53 + 550 + 0 + 3 + 40 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 167243374116 + 38111629284 = 408954^2 + 195222^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 57041257 + ... + 57044856.

Almost surely, 2^205355003400 is an apocalyptic number.

205355003400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205355003400 is an abundant number, since it is smaller than the sum of its proper divisors (484295555730).

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

205355003400 is a wasteful number, since it uses less digits than its factorization.

205355003400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114086135 (or 114086123 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

Adding to 205355003400 its reverse (4300553502), we get a palindrome (209655556902).

The spelling of 205355003400 in words is "two hundred five billion, three hundred fifty-five million, three thousand, four hundred".