2671127157312 has 224 divisors, whose sum is σ = 8011781141760. Its totient is φ = 872440381440.

The previous prime is 2671127157289. The next prime is 2671127157329. The reversal of 2671127157312 is 2137517211762.

2671127157312 is a `hidden beast` number, since 2 + 6 + 7 + 1 + 1 + 2 + 71 + 573 + 1 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27674128 + ... + 27770480.

Almost surely, 2^{2671127157312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2671127157312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4005890570880).

2671127157312 is an abundant number, since it is smaller than the sum of its proper divisors (5340653984448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2671127157312 is a wasteful number, since it uses less digits than its factorization.

2671127157312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96698 (or 96682 counting only the distinct ones).

The product of its digits is 246960, while the sum is 45.

The spelling of 2671127157312 in words is "two trillion, six hundred seventy-one billion, one hundred twenty-seven million, one hundred fifty-seven thousand, three hundred twelve".