204096262360320 has 3888 divisors, whose sum is σ = 877266818850240. Its totient is φ = 45361725235200.

The previous prime is 204096262360313. The next prime is 204096262360369. The reversal of 204096262360320 is 23063262690402.

It is a happy number.

204096262360320 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 9 + 6 + 262 + 3 + 60 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (3888).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 6583750398705 + ... + 6583750398735.

Almost surely, 2^{204096262360320} is an apocalyptic number.

204096262360320 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 204096262360320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438633409425120).

204096262360320 is an abundant number, since it is smaller than the sum of its proper divisors (673170556489920).

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

204096262360320 is an frugal number, since it uses more digits than its factorization.

204096262360320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 204096262360320 in words is "two hundred four trillion, ninety-six billion, two hundred sixty-two million, three hundred sixty thousand, three hundred twenty".