11787858120 has 128 divisors (see below), whose sum is σ = 36586339200. Its totient is φ = 3035990016.

The previous prime is 11787858119. The next prime is 11787858151. The reversal of 11787858120 is 2185878711.

11787858120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11787858120.

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 31 ways as a sum of consecutive naturals, for example, 598591 + ... + 617969.

It is an arithmetic number, because the mean of its divisors is an integer number (285830775).

Almost surely, 2^11787858120 is an apocalyptic number.

11787858120 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 11787858120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18293169600).

11787858120 is an abundant number, since it is smaller than the sum of its proper divisors (24798481080).

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

11787858120 is a wasteful number, since it uses less digits than its factorization.

11787858120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19567 (or 19563 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 48.

The spelling of 11787858120 in words is "eleven billion, seven hundred eighty-seven million, eight hundred fifty-eight thousand, one hundred twenty".