11877681816 has 384 divisors, whose sum is σ = 43662528000. Its totient is φ = 2816778240.

The previous prime is 11877681787. The next prime is 11877681817. The reversal of 11877681816 is 61818677811.

11877681816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11877681817) 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 95 ways as a sum of consecutive naturals, for example, 6990135 + ... + 6991833.

It is an arithmetic number, because the mean of its divisors is an integer number (113704500).

Almost surely, 2^11877681816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11877681816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21831264000).

11877681816 is an abundant number, since it is smaller than the sum of its proper divisors (31784846184).

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

11877681816 is a wasteful number, since it uses less digits than its factorization.

11877681816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1839 (or 1832 counting only the distinct ones).

The product of its digits is 903168, while the sum is 54.

The spelling of 11877681816 in words is "eleven billion, eight hundred seventy-seven million, six hundred eighty-one thousand, eight hundred sixteen".