11991340820760 has 512 divisors, whose sum is σ = 42879476736000. Its totient is φ = 2680391884800.

The previous prime is 11991340820759. The next prime is 11991340820887. The reversal of 11991340820760 is 6702804319911.

It is a super-3 number, since 3×11991340820760³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4281091360 + ... + 4281094160.

It is an arithmetic number, because the mean of its divisors is an integer number (83748978000).

Almost surely, 2^{11991340820760} is an apocalyptic number.

11991340820760 is a gapful number since it is divisible by the number (10) 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 11991340820760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21439738368000).

11991340820760 is an abundant number, since it is smaller than the sum of its proper divisors (30888135915240).

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

11991340820760 is a wasteful number, since it uses less digits than its factorization.

11991340820760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5096 (or 5078 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 51.

The spelling of 11991340820760 in words is "eleven trillion, nine hundred ninety-one billion, three hundred forty million, eight hundred twenty thousand, seven hundred sixty".