205111240031320 has 384 divisors, whose sum is σ = 539233981977600. Its totient is φ = 68773820746752.

The previous prime is 205111240031311. The next prime is 205111240031329. The reversal of 205111240031320 is 23130042111502.

It is an interprime number because it is at equal distance from previous prime (205111240031311) and next prime (205111240031329).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205111240031329) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 516652997362 + ... + 516652997758.

It is an arithmetic number, because the mean of its divisors is an integer number (1404255161400).

Almost surely, 2^{205111240031320} is an apocalyptic number.

205111240031320 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 205111240031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269616990988800).

205111240031320 is an abundant number, since it is smaller than the sum of its proper divisors (334122741946280).

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

205111240031320 is a wasteful number, since it uses less digits than its factorization.

205111240031320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 205111240031320 its reverse (23130042111502), we get a palindrome (228241282142822).

The spelling of 205111240031320 in words is "two hundred five trillion, one hundred eleven billion, two hundred forty million, thirty-one thousand, three hundred twenty".