204099160320 has 1728 divisors, whose sum is σ = 882283933440. Its totient is φ = 44962283520.

The previous prime is 204099160289. The next prime is 204099160327. The reversal of 204099160320 is 23061990402.

204099160320 is a `hidden beast` number, since 2 + 0 + 40 + 9 + 9 + 1 + 603 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (204099160327) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7037902066 + ... + 7037902094.

It is an arithmetic number, because the mean of its divisors is an integer number (510580980).

Almost surely, 2^204099160320 is an apocalyptic number.

204099160320 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 204099160320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441141966720).

204099160320 is an abundant number, since it is smaller than the sum of its proper divisors (678184773120).

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

204099160320 is an equidigital number, since it uses as much as digits as its factorization.

204099160320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 204099160320 in words is "two hundred four billion, ninety-nine million, one hundred sixty thousand, three hundred twenty".