204081609600 has 288 divisors, whose sum is σ = 794412089640. Its totient is φ = 49474252800.

The previous prime is 204081609581. The next prime is 204081609619. The reversal of 204081609600 is 6906180402.

204081609600 is a `hidden beast` number, since 2 + 0 + 40 + 8 + 1 + 6 + 0 + 9 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (204081609581) and next prime (204081609619).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5299 + ... + 638898.

Almost surely, 2^204081609600 is an apocalyptic number.

204081609600 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 204081609600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397206044820).

204081609600 is an abundant number, since it is smaller than the sum of its proper divisors (590330480040).

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

204081609600 is a wasteful number, since it uses less digits than its factorization.

204081609600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644238 (or 644218 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 204081609600 in words is "two hundred four billion, eighty-one million, six hundred nine thousand, six hundred".