205967306820 has 48 divisors (see below), whose sum is σ = 629136502848. Its totient is φ = 49931468160.

The previous prime is 205967306819. The next prime is 205967306843. The reversal of 205967306820 is 28603769502.

205967306820 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 205967306820.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156035179 + ... + 156036498.

It is an arithmetic number, because the mean of its divisors is an integer number (13107010476).

Almost surely, 2^205967306820 is an apocalyptic number.

205967306820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205967306820 is an abundant number, since it is smaller than the sum of its proper divisors (423169196028).

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

205967306820 is a wasteful number, since it uses less digits than its factorization.

205967306820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312071700 (or 312071698 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 205967306820 in words is "two hundred five billion, nine hundred sixty-seven million, three hundred six thousand, eight hundred twenty".