205323283680 has 96 divisors (see below), whose sum is σ = 647232768000. Its totient is φ = 54713559552.

The previous prime is 205323283667. The next prime is 205323283691. The reversal of 205323283680 is 86382323502.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×205323283680² (a number of 23 digits) contains 22 as substring.

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, 518641 + ... + 824399.

It is an arithmetic number, because the mean of its divisors is an integer number (6742008000).

Almost surely, 2^205323283680 is an apocalyptic number.

205323283680 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 205323283680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323616384000).

205323283680 is an abundant number, since it is smaller than the sum of its proper divisors (441909484320).

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

205323283680 is a wasteful number, since it uses less digits than its factorization.

205323283680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307176 (or 307168 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 205323283680 in words is "two hundred five billion, three hundred twenty-three million, two hundred eighty-three thousand, six hundred eighty".