204121544600064 has 320 divisors, whose sum is σ = 673546163786496. Its totient is φ = 53491354435584.

The previous prime is 204121544600027. The next prime is 204121544600143. The reversal of 204121544600064 is 460006445121402.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 204121544599995 and 204121544600031.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17294044 + ... + 26595620.

Almost surely, 2^{204121544600064} is an apocalyptic number.

204121544600064 is a gapful number since it is divisible by the number (24) 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 204121544600064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336773081893248).

204121544600064 is an abundant number, since it is smaller than the sum of its proper divisors (469424619186432).

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

204121544600064 is a wasteful number, since it uses less digits than its factorization.

204121544600064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9301775 (or 9301759 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

Adding to 204121544600064 its reverse (460006445121402), we get a palindrome (664127989721466).

The spelling of 204121544600064 in words is "two hundred four trillion, one hundred twenty-one billion, five hundred forty-four million, six hundred thousand, sixty-four".