204745605120 has 1440 divisors, whose sum is σ = 913515926400. Its totient is φ = 42807066624.

The previous prime is 204745605061. The next prime is 204745605131. The reversal of 204745605120 is 21506547402.

It is a happy number.

204745605120 is a `hidden beast` number, since 2 + 0 + 4 + 7 + 45 + 605 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7060193266 + ... + 7060193294.

It is an arithmetic number, because the mean of its divisors is an integer number (634386060).

Almost surely, 2^204745605120 is an apocalyptic number.

204745605120 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 204745605120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456757963200).

204745605120 is an abundant number, since it is smaller than the sum of its proper divisors (708770321280).

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

204745605120 is an frugal number, since it uses more digits than its factorization.

204745605120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 204745605120 in words is "two hundred four billion, seven hundred forty-five million, six hundred five thousand, one hundred twenty".