The biggest player in men’s accessories is about to get bigger.

Randa Accessories — a New York-based firm that makes men’s belts, wallets, ties and luggage under brands like Levi’s, Nautica and Timberland — has offered $57.5 million to acquire smaller rival Swank.

The acquisition of Swank — which makes similar products under brands such as Kenneth Cole, Tommy Hilfiger and Tumi — will create a powerhouse with revenues of nearly $600 million.

“In this world, scale is important,” a source close to the deal told The Post, noting that consolidation among retailers — particularly department stores like Macy’s — has pressured suppliers to merge in order to increase their clout.

Randa, which celebrated its 100th anniversary in 2010, will fund the purchase with existing cash as well as a credit line from JPMorgan Chase.

Swank, founded in 1897 in Attleboro, Mass., swung to a quarterly profit in August. Its shares, which are thinly traded on over-the-counter exchanges, yesterday closed at $7, up $2.25.

The deal includes a go-shop provision that will allow rival bids through March 9. But Randa’s offer of $10 a share more than doubles the company’s market value prior to the merger’s announcement yesterday.

Randa, a private firm with about $450 million in revenue last year, has hired Peter J. Solomon as its adviser, while Swank is being advised by Financo.