204955720416 has 360 divisors, whose sum is σ = 642822891480. Its totient is φ = 64048140288.

The previous prime is 204955720393. The next prime is 204955720441. The reversal of 204955720416 is 614027559402.

204955720416 is a `hidden beast` number, since 20 + 49 + 5 + 572 + 0 + 4 + 16 = 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 59 ways as a sum of consecutive naturals, for example, 313867546 + ... + 313868198.

It is an arithmetic number, because the mean of its divisors is an integer number (1785619143).

Almost surely, 2^204955720416 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 204955720416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321411445740).

204955720416 is an abundant number, since it is smaller than the sum of its proper divisors (437867171064).

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

204955720416 is a wasteful number, since it uses less digits than its factorization.

204955720416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 204955720416 in words is "two hundred four billion, nine hundred fifty-five million, seven hundred twenty thousand, four hundred sixteen".