204919267072 has 144 divisors (see below), whose sum is σ = 445677030400. Its totient is φ = 93473243136.

The previous prime is 204919267057. The next prime is 204919267079. The reversal of 204919267072 is 270762919402.

204919267072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204919267079) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132290554 + ... + 132292102.

Almost surely, 2^204919267072 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 204919267072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222838515200).

204919267072 is an abundant number, since it is smaller than the sum of its proper divisors (240757763328).

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

204919267072 is a wasteful number, since it uses less digits than its factorization.

204919267072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2018 (or 2004 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 49.

The spelling of 204919267072 in words is "two hundred four billion, nine hundred nineteen million, two hundred sixty-seven thousand, seventy-two".