205005820006 has 64 divisors (see below), whose sum is σ = 355155913728. Its totient is φ = 87994988928.

The previous prime is 205005819989. The next prime is 205005820013. The reversal of 205005820006 is 600028500502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43962031 + ... + 43966693.

It is an arithmetic number, because the mean of its divisors is an integer number (5549311152).

Almost surely, 2^205005820006 is an apocalyptic number.

205005820006 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

205005820006 is a deficient number, since it is larger than the sum of its proper divisors (150150093722).

205005820006 is a wasteful number, since it uses less digits than its factorization.

205005820006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6725.

The product of its (nonzero) digits is 4800, while the sum is 28.

The spelling of 205005820006 in words is "two hundred five billion, five million, eight hundred twenty thousand, six".