204338559745320 has 1024 divisors, whose sum is σ = 841243511808000. Its totient is φ = 39129591029760.

The previous prime is 204338559745283. The next prime is 204338559745361. The reversal of 204338559745320 is 23547955833402.

It is a super-2 number, since 2×204338559745320² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 255 ways as a sum of consecutive naturals, for example, 3631559827 + ... + 3631616093.

It is an arithmetic number, because the mean of its divisors is an integer number (821526867000).

Almost surely, 2^{204338559745320} is an apocalyptic number.

204338559745320 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 204338559745320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420621755904000).

204338559745320 is an abundant number, since it is smaller than the sum of its proper divisors (636904952062680).

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

204338559745320 is a wasteful number, since it uses less digits than its factorization.

204338559745320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56943 (or 56925 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 60.

The spelling of 204338559745320 in words is "two hundred four trillion, three hundred thirty-eight billion, five hundred fifty-nine million, seven hundred forty-five thousand, three hundred twenty".