204208584160 has 96 divisors (see below), whose sum is σ = 551770652160. Its totient is φ = 69962629632.

The previous prime is 204208584143. The next prime is 204208584179. The reversal of 204208584160 is 61485802402.

It is a happy number.

It is a super-2 number, since 2×204208584160² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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, 1464351 + ... + 1597729.

It is an arithmetic number, because the mean of its divisors is an integer number (5747610960).

Almost surely, 2^204208584160 is an apocalyptic number.

204208584160 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 204208584160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275885326080).

204208584160 is an abundant number, since it is smaller than the sum of its proper divisors (347562068000).

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

204208584160 is a wasteful number, since it uses less digits than its factorization.

204208584160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134768 (or 134760 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 40.

The spelling of 204208584160 in words is "two hundred four billion, two hundred eight million, five hundred eighty-four thousand, one hundred sixty".