204261321600 has 864 divisors, whose sum is σ = 864160750440. Its totient is φ = 45790617600.

The previous prime is 204261321553. The next prime is 204261321619. The reversal of 204261321600 is 6123162402.

204261321600 is a `hidden beast` number, since 2 + 0 + 4 + 26 + 1 + 32 + 1 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 74792235 + ... + 74794965.

Almost surely, 2^204261321600 is an apocalyptic number.

204261321600 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 204261321600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432080375220).

204261321600 is an abundant number, since it is smaller than the sum of its proper divisors (659899428840).

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

204261321600 is a wasteful number, since it uses less digits than its factorization.

204261321600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2828 (or 2801 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 204261321600 in words is "two hundred four billion, two hundred sixty-one million, three hundred twenty-one thousand, six hundred".