27177007345 has 24 divisors (see below), whose sum is σ = 34116578496. Its totient is φ = 20781322848.

The previous prime is 27177007327. The next prime is 27177007369. The reversal of 27177007345 is 54370077172.

It is a de Polignac number, because none of the positive numbers 2^k-27177007345 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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4882534 + ... + 4888096.

It is an arithmetic number, because the mean of its divisors is an integer number (1421524104).

Almost surely, 2^27177007345 is an apocalyptic number.

It is an amenable number.

27177007345 is a deficient number, since it is larger than the sum of its proper divisors (6939571151).

27177007345 is a wasteful number, since it uses less digits than its factorization.

27177007345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7461 (or 7438 counting only the distinct ones).

The product of its (nonzero) digits is 288120, while the sum is 43.

The spelling of 27177007345 in words is "twenty-seven billion, one hundred seventy-seven million, seven thousand, three hundred forty-five".