204528069900 has 864 divisors, whose sum is σ = 833961623040. Its totient is φ = 42239232000.

The previous prime is 204528069841. The next prime is 204528069973. The reversal of 204528069900 is 9960825402.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 525778906 + ... + 525779294.

It is an arithmetic number, because the mean of its divisors is an integer number (965233360).

Almost surely, 2^204528069900 is an apocalyptic number.

204528069900 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 204528069900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416980811520).

204528069900 is an abundant number, since it is smaller than the sum of its proper divisors (629433553140).

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

204528069900 is a wasteful number, since it uses less digits than its factorization.

204528069900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 204528069900 in words is "two hundred four billion, five hundred twenty-eight million, sixty-nine thousand, nine hundred".