Hi,
Now hackers are getting clever. I got a fake mail from support@twitter.com like this(screenshot below).
The mail seems very original but the link points to somewhere else when you hover your mouse over the link.
If you have a twitter account and you receive such mail, forward it to spoof@twitter.com and click the spam button on your mail.
Note: If you have a PayPal or Online bank accounts, verify the mails to see if they are really from them.