65503706286096 has 405 divisors, whose sum is σ = 205701660760869. Its totient is φ = 19449109435392.

The previous prime is 65503706286059. The next prime is 65503706286097. The reversal of 65503706286096 is 69068260730556.

The square root of 65503706286096 is 8093436.

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

65503706286096 is a `hidden beast` number, since 6 + 5 + 503 + 7 + 0 + 62 + 8 + 60 + 9 + 6 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 21079668387600 + 44424037898496 = 4591260^2 + 6665136^2 .

It is not an unprimeable number, because it can be changed into a prime (65503706286097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 36614703570 + ... + 36614705358.

Almost surely, 2^{65503706286096} is an apocalyptic number.

65503706286096 is the 8093436-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65503706286096

65503706286096 is an abundant number, since it is smaller than the sum of its proper divisors (140197954474773).

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

65503706286096 is a wasteful number, since it uses less digits than its factorization.

65503706286096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3676 (or 1836 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 65503706286096 in words is "sixty-five trillion, five hundred three billion, seven hundred six million, two hundred eighty-six thousand, ninety-six".