204805991376 has 480 divisors, whose sum is σ = 725728312320. Its totient is φ = 54134583552.

The previous prime is 204805991309. The next prime is 204805991483. The reversal of 204805991376 is 673199508402.

204805991376 is a `hidden beast` number, since 2 + 0 + 48 + 0 + 599 + 1 + 3 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 46939371 + ... + 46943733.

It is an arithmetic number, because the mean of its divisors is an integer number (1511933984).

It is a 1-persistent number, because it is pandigital, but 2⋅204805991376 = 409611982752 is not.

Almost surely, 2^204805991376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204805991376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362864156160).

204805991376 is an abundant number, since it is smaller than the sum of its proper divisors (520922320944).

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

204805991376 is a wasteful number, since it uses less digits than its factorization.

204805991376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4468 (or 4437 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 204805991376 in words is "two hundred four billion, eight hundred five million, nine hundred ninety-one thousand, three hundred seventy-six".