204808000743120 has 160 divisors (see below), whose sum is σ = 636723279244800. Its totient is φ = 54459103652352.

The previous prime is 204808000743107. The next prime is 204808000743133. The reversal of 204808000743120 is 21347000808402.

204808000743120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (204808000743107) and next prime (204808000743133).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 407522551 + ... + 408024809.

It is an arithmetic number, because the mean of its divisors is an integer number (3979520495280).

Almost surely, 2^{204808000743120} is an apocalyptic number.

204808000743120 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 204808000743120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318361639622400).

204808000743120 is an abundant number, since it is smaller than the sum of its proper divisors (431915278501680).

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

204808000743120 is a wasteful number, since it uses less digits than its factorization.

204808000743120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507137 (or 507131 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The spelling of 204808000743120 in words is "two hundred four trillion, eight hundred eight billion, seven hundred forty-three thousand, one hundred twenty".