There are aggregate limits for 529 contributions that vary by state. Amounts range from around $230k - $500k.
As mentioned previously, you can typically gift someone $15k in a given year without any gift tax implications (which is really just a tax filing requirement to keep track of your lifetime exemption) but 529s have a special 5 year gift averaging that allows you to accelerate up to 5 years of gifts without triggering any gift tax issues. So you could gift up to $75k this year.
But if you are married, your spouse can also make gifts, so the amount is actually $150k that a couple could fund a 529 with under the 5 Year Averaging.
However, there are caveats...
1. If you buy other gifts during the year for a child, those should be included in your $15k calculation for the amount gifted.
2. Overfunding a 529 can result in negative tax consequences, having a well thought out plan is advisable.