27490072162617 has 24 divisors (see below), whose sum is σ = 40228921576584. Its totient is φ = 18087781473024.

The previous prime is 27490072162559. The next prime is 27490072162649. The reversal of 27490072162617 is 71626127009472.

27490072162617 is a `hidden beast` number, since 2 + 7 + 4 + 9 + 0 + 0 + 7 + 2 + 1 + 626 + 1 + 7 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12648862962576 + 14841209200041 = 3556524^2 + 3852429^2 .

It is not a de Polignac number, because 27490072162617 - 2¹¹ = 27490072160569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27490072164617) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64223898 + ... + 64650515.

It is an arithmetic number, because the mean of its divisors is an integer number (1676205065691).

Almost surely, 2^{27490072162617} is an apocalyptic number.

It is an amenable number.

27490072162617 is a deficient number, since it is larger than the sum of its proper divisors (12738849413967).

27490072162617 is a wasteful number, since it uses less digits than its factorization.

27490072162617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128874729 (or 128874726 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 27490072162617 in words is "twenty-seven trillion, four hundred ninety billion, seventy-two million, one hundred sixty-two thousand, six hundred seventeen".