204712040510208 has 576 divisors, whose sum is σ = 754947068682240. Its totient is φ = 53157822566400.

The previous prime is 204712040510183. The next prime is 204712040510239. The reversal of 204712040510208 is 802015040217402.

204712040510208 is a `hidden beast` number, since 2 + 0 + 47 + 1 + 2 + 0 + 405 + 1 + 0 + 208 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2081478891 + ... + 2081577237.

It is an arithmetic number, because the mean of its divisors is an integer number (1310671994240).

Almost surely, 2^{204712040510208} is an apocalyptic number.

204712040510208 is a gapful number since it is divisible by the number (28) 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 204712040510208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377473534341120).

204712040510208 is an abundant number, since it is smaller than the sum of its proper divisors (550235028172032).

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

204712040510208 is a wasteful number, since it uses less digits than its factorization.

204712040510208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102301 (or 102281 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 204712040510208 in words is "two hundred four trillion, seven hundred twelve billion, forty million, five hundred ten thousand, two hundred eight".