11820377491680 has 384 divisors, whose sum is σ = 42013860876288. Its totient is φ = 2777318162432.

The previous prime is 11820377491673. The next prime is 11820377491687. The reversal of 11820377491680 is 8619477302811.

It is an interprime number because it is at equal distance from previous prime (11820377491673) and next prime (11820377491687).

It is a self number, because there is not a number n which added to its sum of digits gives 11820377491680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11820377491687) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 8150944 + ... + 9490976.

It is an arithmetic number, because the mean of its divisors is an integer number (109411096032).

Almost surely, 2^{11820377491680} is an apocalyptic number.

11820377491680 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 11820377491680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21006930438144).

11820377491680 is an abundant number, since it is smaller than the sum of its proper divisors (30193483384608).

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

11820377491680 is a wasteful number, since it uses less digits than its factorization.

11820377491680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340138 (or 1340130 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 57.

The spelling of 11820377491680 in words is "eleven trillion, eight hundred twenty billion, three hundred seventy-seven million, four hundred ninety-one thousand, six hundred eighty".