205805164940 has 24 divisors (see below), whose sum is σ = 433984179552. Its totient is φ = 81980478720.

The previous prime is 205805164931. The next prime is 205805164951. The reversal of 205805164940 is 49461508502.

It is a junction number, because it is equal to n+sod(n) for n = 205805164891 and 205805164900.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21344264 + ... + 21353903.

It is an arithmetic number, because the mean of its divisors is an integer number (18082674148).

Almost surely, 2^205805164940 is an apocalyptic number.

205805164940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205805164940 is an abundant number, since it is smaller than the sum of its proper divisors (228179014612).

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

205805164940 is a wasteful number, since it uses less digits than its factorization.

205805164940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42698417 (or 42698415 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 44.

The spelling of 205805164940 in words is "two hundred five billion, eight hundred five million, one hundred sixty-four thousand, nine hundred forty".