71210577540496 has 45 divisors (see below), whose sum is σ = 138196032020769. Its totient is φ = 35547180322752.

The previous prime is 71210577540467. The next prime is 71210577540497. The reversal of 71210577540496 is 69404577501217.

The square root of 71210577540496 is 8438636.

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

It can be written as a sum of positive squares in only one way, i.e., 34531371795600 + 36679205744896 = 5876340^2 + 6056336^2 .

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 71210577540496.

It is not an unprimeable number, because it can be changed into a prime (71210577540497) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 26902370245 + ... + 26902372891.

Almost surely, 2^{71210577540496} is an apocalyptic number.

71210577540496 is the 8438636-th square number.

It is an amenable number.

71210577540496 is a deficient number, since it is larger than the sum of its proper divisors (66985454480273).

71210577540496 is an frugal number, since it uses more digits than its factorization.

71210577540496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6896 (or 3446 counting only the distinct ones).

The product of its (nonzero) digits is 14817600, while the sum is 58.

The spelling of 71210577540496 in words is "seventy-one trillion, two hundred ten billion, five hundred seventy-seven million, five hundred forty thousand, four hundred ninety-six".