57986084809 has 9 divisors (see below), whose sum is σ = 58531243719. Its totient is φ = 57445963680.

The previous prime is 57986084789. The next prime is 57986084881. The reversal of 57986084809 is 90848068975.

The square root of 57986084809 is 240803.

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., 1021761225 + 56964323584 = 31965^2 + 238672^2 .

It is not a de Polignac number, because 57986084809 - 2¹⁷ = 57985953737 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57986084899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 27209674 + ... + 27211804.

Almost surely, 2^57986084809 is an apocalyptic number.

57986084809 is the 240803-rd square number.

57986084809 is the 120402-nd centered octagonal number.

It is an amenable number.

57986084809 is a deficient number, since it is larger than the sum of its proper divisors (545158910).

57986084809 is an frugal number, since it uses more digits than its factorization.

57986084809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4488 (or 2244 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 64.

Multiplying 57986084809 by its sum of digits (64), we get a square (3711109427776 = 1926424²).

The spelling of 57986084809 in words is "fifty-seven billion, nine hundred eighty-six million, eighty-four thousand, eight hundred nine".