11876994288 has 120 divisors (see below), whose sum is σ = 35803422720. Its totient is φ = 3664679040.

The previous prime is 11876994271. The next prime is 11876994313. The reversal of 11876994288 is 88249967811.

11876994288 is a `hidden beast` number, since 118 + 7 + 6 + 99 + 428 + 8 = 666.

11876994288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 44833 + ... + 160511.

It is an arithmetic number, because the mean of its divisors is an integer number (298361856).

Almost surely, 2^11876994288 is an apocalyptic number.

11876994288 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 11876994288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17901711360).

11876994288 is an abundant number, since it is smaller than the sum of its proper divisors (23926428432).

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

11876994288 is a wasteful number, since it uses less digits than its factorization.

11876994288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115747 (or 115738 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 63.

The spelling of 11876994288 in words is "eleven billion, eight hundred seventy-six million, nine hundred ninety-four thousand, two hundred eighty-eight".