204579000960 has 512 divisors, whose sum is σ = 733824230400. Its totient is φ = 48172695552.

The previous prime is 204579000949. The next prime is 204579000991. The reversal of 204579000960 is 69000975402.

204579000960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 66355579 + ... + 66358661.

It is an arithmetic number, because the mean of its divisors is an integer number (1433250450).

Almost surely, 2^204579000960 is an apocalyptic number.

204579000960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204579000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366912115200).

204579000960 is an abundant number, since it is smaller than the sum of its proper divisors (529245229440).

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

204579000960 is a wasteful number, since it uses less digits than its factorization.

204579000960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3248 (or 3236 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The spelling of 204579000960 in words is "two hundred four billion, five hundred seventy-nine million, nine hundred sixty", and thus it is an aban number.