5577565485969 has 27 divisors (see below), whose sum is σ = 8136525739017. Its totient is φ = 3681794459016.

The previous prime is 5577565485967. The next prime is 5577565485997. The reversal of 5577565485969 is 9695845657755.

The square root of 5577565485969 is 2361687.

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

5577565485969 is a `hidden beast` number, since 5 + 5 + 7 + 7 + 5 + 6 + 548 + 5 + 9 + 69 = 666.

It is not a de Polignac number, because 5577565485969 - 2¹ = 5577565485967 is a prime.

It is a super-2 number, since 2×5577565485969² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5577565485967) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 729757462 + ... + 729765104.

Almost surely, 2^{5577565485969} is an apocalyptic number.

5577565485969 is the 2361687-th square number.

5577565485969 is the 1180844-th centered octagonal number.

It is an amenable number.

5577565485969 is a deficient number, since it is larger than the sum of its proper divisors (2558960253048).

5577565485969 is an frugal number, since it uses more digits than its factorization.

5577565485969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15498 (or 7749 counting only the distinct ones).

The product of its digits is 14288400000, while the sum is 81.

Multiplying 5577565485969 by its sum of digits (81), we get a square (451782804363489 = 21255183²).

The spelling of 5577565485969 in words is "five trillion, five hundred seventy-seven billion, five hundred sixty-five million, four hundred eighty-five thousand, nine hundred sixty-nine".