204965220096 has 792 divisors, whose sum is σ = 760381490400. Its totient is φ = 53693964288.

The previous prime is 204965220073. The next prime is 204965220113. The reversal of 204965220096 is 690022569402.

204965220096 is a `hidden beast` number, since 2 + 0 + 496 + 52 + 20 + 0 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 1375605430 + ... + 1375605578.

Almost surely, 2^204965220096 is an apocalyptic number.

204965220096 is a gapful number since it is divisible by the number (26) 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 204965220096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380190745200).

204965220096 is an abundant number, since it is smaller than the sum of its proper divisors (555416270304).

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

204965220096 is an frugal number, since it uses more digits than its factorization.

204965220096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

Adding to 204965220096 its reverse (690022569402), we get a palindrome (894987789498).

The spelling of 204965220096 in words is "two hundred four billion, nine hundred sixty-five million, two hundred twenty thousand, ninety-six".