Problem using matlabFunction to convert symbolic expression

Using the following code...

syms c_c
cMax_c=23900;
x_c=c_c/cMax_c;
phi_c0=85.681*x_c^6-357.70*x_c^5+613.89*x_c^4-555.65*x_c^3+281.06*x_c^2-76.648*x_c-0.30987*exp(5.657*x_c^115.0)+13.1983;
cathodefunction1=matlabFunction(phi_c0)

...produces the issue that the resulting cathodefunction1 includes a c_c^115 which leads to NaN values at c_c>479:

 cathodefunction1 = @(c_c)c_c.*(-3.207029288702929e-3)-exp(c_c.^115.*1.725152809214466e-503).*3.0987e-1+c_c.^2.*4.920432065264964e-7-c_c.^3.*4.070123767947935e-11+c_c.^4.*1.881477179770654e-15-c_c.^5.*4.587007343484818e-20+c_c.^6.*4.597239408413852e-25+1.31983e1

The initial equation doesn't lead to this issue since the value of c_c is devided by c_Max. Is there any way to work around this problem? Thanks!