205162334320 has 80 divisors (see below), whose sum is σ = 488090670912. Its totient is φ = 80170588160.

The previous prime is 205162334317. The next prime is 205162334323. The reversal of 205162334320 is 23433261502.

It is an interprime number because it is at equal distance from previous prime (205162334317) and next prime (205162334323).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205162334323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 884085 + ... + 1091755.

Almost surely, 2^205162334320 is an apocalyptic number.

205162334320 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 205162334320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244045335456).

205162334320 is an abundant number, since it is smaller than the sum of its proper divisors (282928336592).

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

205162334320 is a wasteful number, since it uses less digits than its factorization.

205162334320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207970 (or 207964 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

Adding to 205162334320 its reverse (23433261502), we get a palindrome (228595595822).

The spelling of 205162334320 in words is "two hundred five billion, one hundred sixty-two million, three hundred thirty-four thousand, three hundred twenty".