205314012032320 has 224 divisors, whose sum is σ = 522343209312000. Its totient is φ = 76645730304000.

The previous prime is 205314012032287. The next prime is 205314012032333. The reversal of 205314012032320 is 23230210413502.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121361860 + ... + 123041980.

Almost surely, 2^{205314012032320} is an apocalyptic number.

205314012032320 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 205314012032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261171604656000).

205314012032320 is an abundant number, since it is smaller than the sum of its proper divisors (317029197279680).

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

205314012032320 is a wasteful number, since it uses less digits than its factorization.

205314012032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680457 (or 1680447 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 205314012032320 its reverse (23230210413502), we get a palindrome (228544222445822).

The spelling of 205314012032320 in words is "two hundred five trillion, three hundred fourteen billion, twelve million, thirty-two thousand, three hundred twenty".