204852316425120 has 6048 divisors, whose sum is σ = 995262601818240. Its totient is φ = 39363480576000.

The previous prime is 204852316425047. The next prime is 204852316425137. The reversal of 204852316425120 is 21524613258402.

204852316425120 is a `hidden beast` number, since 2 + 0 + 4 + 8 + 523 + 16 + 42 + 51 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (6048).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1007 ways as a sum of consecutive naturals, for example, 1356637857045 + ... + 1356637857195.

It is an arithmetic number, because the mean of its divisors is an integer number (164560615380).

Almost surely, 2^{204852316425120} is an apocalyptic number.

204852316425120 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 204852316425120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497631300909120).

204852316425120 is an abundant number, since it is smaller than the sum of its proper divisors (790410285393120).

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

204852316425120 is a wasteful number, since it uses less digits than its factorization.

204852316425120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 204852316425120 in words is "two hundred four trillion, eight hundred fifty-two billion, three hundred sixteen million, four hundred twenty-five thousand, one hundred twenty".