204624505610052 has 192 divisors, whose sum is σ = 526180887321600. Its totient is φ = 61887810758400.

The previous prime is 204624505610051. The next prime is 204624505610117. The reversal of 204624505610052 is 250016505426402.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 204624505609986 and 204624505610013.

It is not an unprimeable number, because it can be changed into a prime (204624505610051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35968446024 + ... + 35968451712.

It is an arithmetic number, because the mean of its divisors is an integer number (2740525454800).

Almost surely, 2^{204624505610052} is an apocalyptic number.

204624505610052 is a gapful number since it is divisible by the number (22) 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 204624505610052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263090443660800).

204624505610052 is an abundant number, since it is smaller than the sum of its proper divisors (321556381711548).

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

204624505610052 is a wasteful number, since it uses less digits than its factorization.

204624505610052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9679 (or 9655 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 42.

The spelling of 204624505610052 in words is "two hundred four trillion, six hundred twenty-four billion, five hundred five million, six hundred ten thousand, fifty-two".