204694417920 has 160 divisors (see below), whose sum is σ = 661737288960. Its totient is φ = 53971681280.

The previous prime is 204694417913. The next prime is 204694417997. The reversal of 204694417920 is 29714496402.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 204694417920.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 533785 + ... + 833255.

It is an arithmetic number, because the mean of its divisors is an integer number (4135858056).

Almost surely, 2^204694417920 is an apocalyptic number.

204694417920 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 204694417920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330868644480).

204694417920 is an abundant number, since it is smaller than the sum of its proper divisors (457042871040).

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

204694417920 is an equidigital number, since it uses as much as digits as its factorization.

204694417920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299586 (or 299570 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 204694417920 in words is "two hundred four billion, six hundred ninety-four million, four hundred seventeen thousand, nine hundred twenty".