204261613920 has 1920 divisors, whose sum is σ = 946830753792. Its totient is φ = 40310784000.

The previous prime is 204261613873. The next prime is 204261613961. The reversal of 204261613920 is 29316162402.

It is a happy number.

204261613920 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 616 + 1 + 39 + 2 + 0 = 666.

204261613920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1352725845 + ... + 1352725995.

Almost surely, 2^204261613920 is an apocalyptic number.

204261613920 is a gapful number since it is divisible by the number (20) 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 204261613920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473415376896).

204261613920 is an abundant number, since it is smaller than the sum of its proper divisors (742569139872).

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

204261613920 is a wasteful number, since it uses less digits than its factorization.

204261613920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 204261613920 in words is "two hundred four billion, two hundred sixty-one million, six hundred thirteen thousand, nine hundred twenty".