205922028672 has 96 divisors (see below), whose sum is σ = 593029632000. Its totient is φ = 68586518016.

The previous prime is 205922028647. The next prime is 205922028701. The reversal of 205922028672 is 276820229502.

205922028672 is digitally balanced in base 2 and base 3, because in such bases 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 (96).

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 11 ways as a sum of consecutive naturals, for example, 1403529 + ... + 1543287.

It is an arithmetic number, because the mean of its divisors is an integer number (6177392000).

Almost surely, 2^205922028672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205922028672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296514816000).

205922028672 is an abundant number, since it is smaller than the sum of its proper divisors (387107603328).

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

205922028672 is a wasteful number, since it uses less digits than its factorization.

205922028672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141058 (or 141043 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 205922028672 in words is "two hundred five billion, nine hundred twenty-two million, twenty-eight thousand, six hundred seventy-two".