75806485582864 has 135 divisors (see below), whose sum is σ = 152898408322821. Its totient is φ = 36409296337920.

The previous prime is 75806485582819. The next prime is 75806485582907. The reversal of 75806485582864 is 46828558460857.

The square root of 75806485582864 is 8706692.

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 8805581456400 + 67000904126464 = 2967420^2 + 8185408^2 .

It is a Duffinian number.

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, 114684546694 + ... + 114684547354.

Almost surely, 2^{75806485582864} is an apocalyptic number.

75806485582864 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

75806485582864 is the 8706692-nd square number.

It is an amenable number.

75806485582864 is an abundant number, since it is smaller than the sum of its proper divisors (77091922739957).

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

75806485582864 is an frugal number, since it uses more digits than its factorization.

75806485582864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 4128768000, while the sum is 76.

The spelling of 75806485582864 in words is "seventy-five trillion, eight hundred six billion, four hundred eighty-five million, five hundred eighty-two thousand, eight hundred sixty-four".