11811990965760 has 2240 divisors, whose sum is σ = 46852349829120. Its totient is φ = 2844328919040.

The previous prime is 11811990965689. The next prime is 11811990965771. The reversal of 11811990965760 is 6756909911811.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 93007802817 + ... + 93007802943.

Almost surely, 2^{11811990965760} is an apocalyptic number.

11811990965760 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 11811990965760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23426174914560).

11811990965760 is an abundant number, since it is smaller than the sum of its proper divisors (35040358863360).

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

11811990965760 is an equidigital number, since it uses as much as digits as its factorization.

11811990965760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 63.

The spelling of 11811990965760 in words is "eleven trillion, eight hundred eleven billion, nine hundred ninety million, nine hundred sixty-five thousand, seven hundred sixty".