8509262380096 has 189 divisors, whose sum is σ = 18216657085917. Its totient is φ = 3942937067520.

The previous prime is 8509262380081. The next prime is 8509262380127. The reversal of 8509262380096 is 6900832629058.

It is a happy number.

The square root of 8509262380096 is 2917064.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 2382330510400 + 6126931869696 = 1543480^2 + 2475264^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 8509262380096.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 35308142536 + ... + 35308142776.

Almost surely, 2^{8509262380096} is an apocalyptic number.

8509262380096 is the 2917064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8509262380096

8509262380096 is an abundant number, since it is smaller than the sum of its proper divisors (9707394705821).

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

8509262380096 is an frugal number, since it uses more digits than its factorization.

8509262380096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 58.

The spelling of 8509262380096 in words is "eight trillion, five hundred nine billion, two hundred sixty-two million, three hundred eighty thousand, ninety-six".