11775544289712 has 480 divisors, whose sum is σ = 39057092186112. Its totient is φ = 3241837541376.

The previous prime is 11775544289711. The next prime is 11775544289791. The reversal of 11775544289712 is 21798244557711.

11775544289712 is a `hidden beast` number, since 1 + 1 + 7 + 7 + 5 + 544 + 2 + 89 + 7 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 11775544289712.

It is not an unprimeable number, because it can be changed into a prime (11775544289711) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1638446983 + ... + 1638454169.

Almost surely, 2^{11775544289712} is an apocalyptic number.

11775544289712 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 11775544289712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19528546093056).

11775544289712 is an abundant number, since it is smaller than the sum of its proper divisors (27281547896400).

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

11775544289712 is a wasteful number, since it uses less digits than its factorization.

11775544289712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7665 (or 7656 counting only the distinct ones).

The product of its digits is 39513600, while the sum is 63.

The spelling of 11775544289712 in words is "eleven trillion, seven hundred seventy-five billion, five hundred forty-four million, two hundred eighty-nine thousand, seven hundred twelve".