205440436500 has 96 divisors (see below), whose sum is σ = 644261270016. Its totient is φ = 50569948800.

The previous prime is 205440436483. The next prime is 205440436501. The reversal of 205440436500 is 5634044502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205440436501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5248204 + ... + 5287203.

It is an arithmetic number, because the mean of its divisors is an integer number (6711054896).

Almost surely, 2^205440436500 is an apocalyptic number.

205440436500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205440436500 is an abundant number, since it is smaller than the sum of its proper divisors (438820833516).

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

205440436500 is a wasteful number, since it uses less digits than its factorization.

205440436500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10535442 (or 10535430 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

The spelling of 205440436500 in words is "two hundred five billion, four hundred forty million, four hundred thirty-six thousand, five hundred".