205350507116742 has 64 divisors (see below), whose sum is σ = 446994274535424. Its totient is φ = 62513629424640.

The previous prime is 205350507116707. The next prime is 205350507116761. The reversal of 205350507116742 is 247611705053502.

It is a junction number, because it is equal to n+sod(n) for n = 205350507116691 and 205350507116700.

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, 19676517 + ... + 28246527.

It is an arithmetic number, because the mean of its divisors is an integer number (6984285539616).

Almost surely, 2^{205350507116742} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205350507116742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223497137267712).

205350507116742 is an abundant number, since it is smaller than the sum of its proper divisors (241643767418682).

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

205350507116742 is a wasteful number, since it uses less digits than its factorization.

205350507116742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8573293.

The product of its (nonzero) digits is 1764000, while the sum is 48.

The spelling of 205350507116742 in words is "two hundred five trillion, three hundred fifty billion, five hundred seven million, one hundred sixteen thousand, seven hundred forty-two".