27518828545 has 24 divisors (see below), whose sum is σ = 35939924856. Its totient is φ = 20218318848.

The previous prime is 27518828539. The next prime is 27518828563. The reversal of 27518828545 is 54582881572.

It is a Cunningham number, because it is equal to 165888²+1.

It can be written as a sum of positive squares in 12 ways, for example, as 17520228496 + 9998600049 = 132364^2 + 99993^2 .

It is not a de Polignac number, because 27518828545 - 2²⁹ = 26981957633 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83809 + ... + 249121.

It is an arithmetic number, because the mean of its divisors is an integer number (1497496869).

It is a Proth number, since it is equal to 6561 ⋅ 2²² + 1 and 6561 < 2²².

Almost surely, 2^27518828545 is an apocalyptic number.

It is an amenable number.

27518828545 is a deficient number, since it is larger than the sum of its proper divisors (8421096311).

27518828545 is a wasteful number, since it uses less digits than its factorization.

27518828545 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165541 (or 165528 counting only the distinct ones).

The product of its digits is 7168000, while the sum is 55.

The spelling of 27518828545 in words is "twenty-seven billion, five hundred eighteen million, eight hundred twenty-eight thousand, five hundred forty-five".