2011661791760 has 80 divisors (see below), whose sum is σ = 4766745004032. Its totient is φ = 789316185600.

The previous prime is 2011661791759. The next prime is 2011661791787. The reversal of 2011661791760 is 671971661102.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1229345 + ... + 2352575.

Almost surely, 2^{2011661791760} is an apocalyptic number.

2011661791760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011661791760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2383372502016).

2011661791760 is an abundant number, since it is smaller than the sum of its proper divisors (2755083212272).

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

2011661791760 is a wasteful number, since it uses less digits than its factorization.

2011661791760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123672 (or 1123666 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 47.

The spelling of 2011661791760 in words is "two trillion, eleven billion, six hundred sixty-one million, seven hundred ninety-one thousand, seven hundred sixty".