71606527140096 has 729 divisors, whose sum is σ = 227948938088781. Its totient is φ = 21608726630400.

The previous prime is 71606527140079. The next prime is 71606527140107. The reversal of 71606527140096 is 69004172560617.

The square root of 71606527140096 is 8462064.

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

71606527140096 is a `hidden beast` number, since 7 + 1 + 606 + 5 + 27 + 1 + 4 + 0 + 0 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10592681529600 + 61013845610496 = 3254640^2 + 7811136^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 374903283361 + ... + 374903283551.

Almost surely, 2^{71606527140096} is an apocalyptic number.

71606527140096 is the 8462064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71606527140096

71606527140096 is an abundant number, since it is smaller than the sum of its proper divisors (156342410948685).

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

71606527140096 is an equidigital number, since it uses as much as digits as its factorization.

71606527140096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 71606527140096 in words is "seventy-one trillion, six hundred six billion, five hundred twenty-seven million, one hundred forty thousand, ninety-six".