205166917920 has 48 divisors (see below), whose sum is σ = 646275792960. Its totient is φ = 54711177984.

The previous prime is 205166917913. The next prime is 205166917933. The reversal of 205166917920 is 29719661502.

205166917920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 205166917920.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 213715060 + ... + 213716019.

It is an arithmetic number, because the mean of its divisors is an integer number (13464079020).

Almost surely, 2^205166917920 is an apocalyptic number.

205166917920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205166917920 is an abundant number, since it is smaller than the sum of its proper divisors (441108875040).

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

205166917920 is a wasteful number, since it uses less digits than its factorization.

205166917920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427431097 (or 427431089 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 48.

The spelling of 205166917920 in words is "two hundred five billion, one hundred sixty-six million, nine hundred seventeen thousand, nine hundred twenty".