265142442240216 has 192 divisors, whose sum is σ = 773584091280000. Its totient is φ = 81769657697280.

The previous prime is 265142442240211. The next prime is 265142442240257. The reversal of 265142442240216 is 612042244241562.

265142442240216 is a `hidden beast` number, since 2 + 6 + 5 + 1 + 4 + 2 + 4 + 422 + 4 + 0 + 216 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (265142442240211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 393254560 + ... + 393928208.

It is an arithmetic number, because the mean of its divisors is an integer number (4029083808750).

Almost surely, 2^{265142442240216} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 265142442240216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386792045640000).

265142442240216 is an abundant number, since it is smaller than the sum of its proper divisors (508441649039784).

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

265142442240216 is a wasteful number, since it uses less digits than its factorization.

265142442240216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680414 (or 680407 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

Adding to 265142442240216 its reverse (612042244241562), we get a palindrome (877184686481778).

The spelling of 265142442240216 in words is "two hundred sixty-five trillion, one hundred forty-two billion, four hundred forty-two million, two hundred forty thousand, two hundred sixteen".