5505746791727 has 144 divisors (see below), whose sum is σ = 7549169695200. Its totient is φ = 3992369472000.

The previous prime is 5505746791681. The next prime is 5505746791757. The reversal of 5505746791727 is 7271976475055.

It is a happy number.

It is not a de Polignac number, because 5505746791727 - 2⁶ = 5505746791663 is a prime.

It is a super-2 number, since 2×5505746791727² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5505746791757) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1965634727 + ... + 1965637527.

It is an arithmetic number, because the mean of its divisors is an integer number (52424789550).

Almost surely, 2^{5505746791727} is an apocalyptic number.

5505746791727 is a deficient number, since it is larger than the sum of its proper divisors (2043422903473).

5505746791727 is a wasteful number, since it uses less digits than its factorization.

5505746791727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2935 (or 2871 counting only the distinct ones).

The product of its (nonzero) digits is 129654000, while the sum is 65.

The spelling of 5505746791727 in words is "five trillion, five hundred five billion, seven hundred forty-six million, seven hundred ninety-one thousand, seven hundred twenty-seven".