27755648699769 has 27 divisors (see below), whose sum is σ = 40269640467693. Its totient is φ = 18421905975552.

The previous prime is 27755648699759. The next prime is 27755648699771. The reversal of 27755648699769 is 96799684655772.

It is a happy number.

The square root of 27755648699769 is 5268363.

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

27755648699769 is a `hidden beast` number, since 2 + 7 + 7 + 5 + 56 + 486 + 9 + 9 + 76 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3966617939769 + 23789030760000 = 1991637^2 + 4877400^2 .

It is not a de Polignac number, because 27755648699769 - 2²¹ = 27755646602617 is a prime.

It is a super-2 number, since 2×27755648699769² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27755648699749) 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, 3682581969 + ... + 3682589505.

Almost surely, 2^{27755648699769} is an apocalyptic number.

27755648699769 is the 5268363-rd square number.

27755648699769 is the 2634182-nd centered octagonal number.

It is an amenable number.

27755648699769 is a deficient number, since it is larger than the sum of its proper divisors (12513991767924).

27755648699769 is an frugal number, since it uses more digits than its factorization.

27755648699769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15546 (or 7773 counting only the distinct ones).

The product of its digits is 86416243200, while the sum is 90.

The spelling of 27755648699769 in words is "twenty-seven trillion, seven hundred fifty-five billion, six hundred forty-eight million, six hundred ninety-nine thousand, seven hundred sixty-nine".