11785265712 has 120 divisors (see below), whose sum is σ = 36659917008. Its totient is φ = 3503884800.

The previous prime is 11785265693. The next prime is 11785265719. The reversal of 11785265712 is 21756258711.

11785265712 is a `hidden beast` number, since 1 + 1 + 78 + 5 + 2 + 6 + 571 + 2 = 666.

11785265712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11785265719) 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 23 ways as a sum of consecutive naturals, for example, 13762 + ... + 154142.

Almost surely, 2^11785265712 is an apocalyptic number.

11785265712 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 11785265712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18329958504).

11785265712 is an abundant number, since it is smaller than the sum of its proper divisors (24874651296).

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

11785265712 is a wasteful number, since it uses less digits than its factorization.

11785265712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140459 (or 140450 counting only the distinct ones).

The product of its digits is 235200, while the sum is 45.

The spelling of 11785265712 in words is "eleven billion, seven hundred eighty-five million, two hundred sixty-five thousand, seven hundred twelve".