204989641920 has 560 divisors, whose sum is σ = 850397486400. Its totient is φ = 46852743168.

The previous prime is 204989641919. The next prime is 204989641931. The reversal of 204989641920 is 29146989402.

204989641920 is a `hidden beast` number, since 2 + 0 + 498 + 9 + 64 + 1 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8879032 + ... + 8902088.

It is an arithmetic number, because the mean of its divisors is an integer number (1518566940).

Almost surely, 2^204989641920 is an apocalyptic number.

204989641920 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 204989641920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425198743200).

204989641920 is an abundant number, since it is smaller than the sum of its proper divisors (645407844480).

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

204989641920 is an equidigital number, since it uses as much as digits as its factorization.

204989641920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23107 (or 23074 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 204989641920 in words is "two hundred four billion, nine hundred eighty-nine million, six hundred forty-one thousand, nine hundred twenty".