204871471560 has 960 divisors, whose sum is σ = 833954054400. Its totient is φ = 44713589760.

The previous prime is 204871471559. The next prime is 204871471591. The reversal of 204871471560 is 65174178402.

204871471560 is a `hidden beast` number, since 2 + 0 + 4 + 8 + 7 + 14 + 71 + 560 = 666.

204871471560 is digitally balanced in base 2, 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 (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4358967457 + ... + 4358967503.

It is an arithmetic number, because the mean of its divisors is an integer number (868702140).

Almost surely, 2^204871471560 is an apocalyptic number.

204871471560 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 204871471560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416977027200).

204871471560 is an abundant number, since it is smaller than the sum of its proper divisors (629082582840).

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

204871471560 is an equidigital number, since it uses as much as digits as its factorization.

204871471560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 204871471560 in words is "two hundred four billion, eight hundred seventy-one million, four hundred seventy-one thousand, five hundred sixty".