11881980808128 has 560 divisors, whose sum is σ = 37062548582400. Its totient is φ = 3759204556800.

The previous prime is 11881980808123. The next prime is 11881980808133. The reversal of 11881980808128 is 82180808918811.

It is an interprime number because it is at equal distance from previous prime (11881980808123) and next prime (11881980808133).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11881980808121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2270584200 + ... + 2270589432.

Almost surely, 2^{11881980808128} is an apocalyptic number.

11881980808128 is a gapful number since it is divisible by the number (18) 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 11881980808128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18531274291200).

11881980808128 is an abundant number, since it is smaller than the sum of its proper divisors (25180567774272).

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

11881980808128 is a wasteful number, since it uses less digits than its factorization.

11881980808128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5558 (or 5539 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 63.

The spelling of 11881980808128 in words is "eleven trillion, eight hundred eighty-one billion, nine hundred eighty million, eight hundred eight thousand, one hundred twenty-eight".