205959442624 has 56 divisors (see below), whose sum is σ = 440200042128. Its totient is φ = 95045084160.

The previous prime is 205959442621. The next prime is 205959442643. The reversal of 205959442624 is 426244959502.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (205959442621) 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, 8663394 + ... + 8687134.

It is an arithmetic number, because the mean of its divisors is an integer number (7860715038).

Almost surely, 2^205959442624 is an apocalyptic number.

It is an amenable number.

205959442624 is an abundant number, since it is smaller than the sum of its proper divisors (234240599504).

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

205959442624 is a wasteful number, since it uses less digits than its factorization.

205959442624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34193 (or 34183 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 52.

The spelling of 205959442624 in words is "two hundred five billion, nine hundred fifty-nine million, four hundred forty-two thousand, six hundred twenty-four".