204580949760 has 864 divisors, whose sum is σ = 798394641408. Its totient is φ = 47942369280.

The previous prime is 204580949743. The next prime is 204580949767. The reversal of 204580949760 is 67949085402.

204580949760 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 = 204580949697 and 204580949706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204580949767) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 557441097 + ... + 557441463.

It is an arithmetic number, because the mean of its divisors is an integer number (924067872).

Almost surely, 2^204580949760 is an apocalyptic number.

204580949760 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 204580949760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399197320704).

204580949760 is an abundant number, since it is smaller than the sum of its proper divisors (593813691648).

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

204580949760 is a wasteful number, since it uses less digits than its factorization.

204580949760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 204580949760 in words is "two hundred four billion, five hundred eighty million, nine hundred forty-nine thousand, seven hundred sixty".