2111671812096 has 810 divisors, whose sum is σ = 7789038196212. Its totient is φ = 545121239040.

The previous prime is 2111671812079. The next prime is 2111671812101. The reversal of 2111671812096 is 6902181761112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 12955041711 + ... + 12955041873.

Almost surely, 2^{2111671812096} 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 2111671812096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3894519098106).

2111671812096 is an abundant number, since it is smaller than the sum of its proper divisors (5677366384116).

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

2111671812096 is an equidigital number, since it uses as much as digits as its factorization.

2111671812096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The spelling of 2111671812096 in words is "two trillion, one hundred eleven billion, six hundred seventy-one million, eight hundred twelve thousand, ninety-six".