204021580482720 has 6912 divisors, whose sum is σ = 1031308768788480. Its totient is φ = 35822093598720.

The previous prime is 204021580482677. The next prime is 204021580482739. The reversal of 204021580482720 is 27284085120402.

204021580482720 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 2 + 1 + 580 + 48 + 2 + 7 + 20 = 666.

204021580482720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 2582551651641 + ... + 2582551651719.

It is an arithmetic number, because the mean of its divisors is an integer number (149205551040).

Almost surely, 2^{204021580482720} is an apocalyptic number.

204021580482720 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 204021580482720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515654384394240).

204021580482720 is an abundant number, since it is smaller than the sum of its proper divisors (827287188305760).

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

204021580482720 is a wasteful number, since it uses less digits than its factorization.

204021580482720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 204021580482720 in words is "two hundred four trillion, twenty-one billion, five hundred eighty million, four hundred eighty-two thousand, seven hundred twenty".