11786282112 has 128 divisors (see below), whose sum is σ = 34948235520. Its totient is φ = 3488486400.

The previous prime is 11786282107. The next prime is 11786282159. The reversal of 11786282112 is 21128268711.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149187 + ... + 214077.

It is an arithmetic number, because the mean of its divisors is an integer number (273033090).

Almost surely, 2^11786282112 is an apocalyptic number.

11786282112 is a gapful number since it is divisible by the number (12) 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 11786282112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17474117760).

11786282112 is an abundant number, since it is smaller than the sum of its proper divisors (23161953408).

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

11786282112 is a wasteful number, since it uses less digits than its factorization.

11786282112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64962 (or 64950 counting only the distinct ones).

The product of its digits is 21504, while the sum is 39.

The spelling of 11786282112 in words is "eleven billion, seven hundred eighty-six million, two hundred eighty-two thousand, one hundred twelve".