The sustainability in the management of scientific information is becoming compromised in this new age of Big Data. Herein, I present and discuss some of the main challenges of this situation in both scientific practice and scientific communication. A major challenge is trying to fill the growing gap between the rate at which new data accumulated and the rate at which these yield new knowledge. Another major challenge is the current hypertrophy of science publications contributing to the Red Queen effect in the scientific activity and to the "publish or perish" policy. All the previously mentioned circumstances contribute to the imposition of urgency and immediacy in the practice of science, leaving too little time to reflect what, why, and how we are researching.