204164988300 has 432 divisors, whose sum is σ = 829083324160. Its totient is φ = 40809070080.

The previous prime is 204164988299. The next prime is 204164988311. The reversal of 204164988300 is 3889461402.

It is a happy number.

204164988300 is a `hidden beast` number, since 204 + 1 + 64 + 9 + 88 + 300 = 666.

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 143 ways as a sum of consecutive naturals, for example, 1490499 + ... + 1621701.

Almost surely, 2^204164988300 is an apocalyptic number.

204164988300 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 204164988300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414541662080).

204164988300 is an abundant number, since it is smaller than the sum of its proper divisors (624918335860).

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

204164988300 is a wasteful number, since it uses less digits than its factorization.

204164988300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131262 (or 131252 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

It can be divided in two parts, 204164 and 988300, that added together give a square (1192464 = 1092²).

The spelling of 204164988300 in words is "two hundred four billion, one hundred sixty-four million, nine hundred eighty-eight thousand, three hundred".