204085680000 has 320 divisors, whose sum is σ = 717273461520. Its totient is φ = 51220480000.

The previous prime is 204085679977. The next prime is 204085680011. The reversal of 204085680000 is 86580402.

204085680000 is digitally balanced in base 3, 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 (320).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4054990 + ... + 4105010.

Almost surely, 2^204085680000 is an apocalyptic number.

204085680000 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 204085680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358636730760).

204085680000 is an abundant number, since it is smaller than the sum of its proper divisors (513187781520).

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

204085680000 is an equidigital number, since it uses as much as digits as its factorization.

204085680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50075 (or 50048 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 204085680000 in words is "two hundred four billion, eighty-five million, six hundred eighty thousand".