204116355534560 has 192 divisors, whose sum is σ = 552665978726400. Its totient is φ = 69785729003520.

The previous prime is 204116355534491. The next prime is 204116355534569. The reversal of 204116355534560 is 65435553611402.

204116355534560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 204116355534499 and 204116355534508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204116355534569) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7896476516 + ... + 7896502364.

It is an arithmetic number, because the mean of its divisors is an integer number (2878468639200).

Almost surely, 2^{204116355534560} is an apocalyptic number.

204116355534560 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 204116355534560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276332989363200).

204116355534560 is an abundant number, since it is smaller than the sum of its proper divisors (348549623191840).

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

204116355534560 is a wasteful number, since it uses less digits than its factorization.

204116355534560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45449 (or 45441 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 50.

The spelling of 204116355534560 in words is "two hundred four trillion, one hundred sixteen billion, three hundred fifty-five million, five hundred thirty-four thousand, five hundred sixty".