11876788566468 has 216 divisors, whose sum is σ = 35082909388800. Its totient is φ = 3377906171136.

The previous prime is 11876788566439. The next prime is 11876788566521. The reversal of 11876788566468 is 86466588767811.

11876788566468 is a `hidden beast` number, since 1 + 1 + 8 + 7 + 6 + 7 + 8 + 8 + 566 + 46 + 8 = 666.

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 71 ways as a sum of consecutive naturals, for example, 345569821 + ... + 345604187.

It is an arithmetic number, because the mean of its divisors is an integer number (162420876800).

Almost surely, 2^{11876788566468} is an apocalyptic number.

11876788566468 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 11876788566468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17541454694400).

11876788566468 is an abundant number, since it is smaller than the sum of its proper divisors (23206120822332).

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

11876788566468 is a wasteful number, since it uses less digits than its factorization.

11876788566468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35279 (or 35267 counting only the distinct ones).

The product of its digits is 5202247680, while the sum is 81.

The spelling of 11876788566468 in words is "eleven trillion, eight hundred seventy-six billion, seven hundred eighty-eight million, five hundred sixty-six thousand, four hundred sixty-eight".