205353520320 has 112 divisors (see below), whose sum is σ = 702151117920. Its totient is φ = 50548555776.

The previous prime is 205353520303. The next prime is 205353520349. The reversal of 205353520320 is 23025353502.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 8214825 + ... + 8239784.

It is an arithmetic number, because the mean of its divisors is an integer number (6269206410).

Almost surely, 2^205353520320 is an apocalyptic number.

205353520320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205353520320 is an abundant number, since it is smaller than the sum of its proper divisors (496797597600).

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

205353520320 is a wasteful number, since it uses less digits than its factorization.

205353520320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16454642 (or 16454632 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 30.

Adding to 205353520320 its reverse (23025353502), we get a palindrome (228378873822).

The spelling of 205353520320 in words is "two hundred five billion, three hundred fifty-three million, five hundred twenty thousand, three hundred twenty".