11689546752 has 440 divisors, whose sum is σ = 38740228296. Its totient is φ = 3487629312.

The previous prime is 11689546747. The next prime is 11689546819. The reversal of 11689546752 is 25764598611.

It is a happy number.

11689546752 is a `hidden beast` number, since 1 + 16 + 89 + 546 + 7 + 5 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4857532416 + 6832014336 = 69696^2 + 82656^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 39895918 + ... + 39896210.

Almost surely, 2^11689546752 is an apocalyptic number.

11689546752 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 11689546752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19370114148).

11689546752 is an abundant number, since it is smaller than the sum of its proper divisors (27050681544).

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

11689546752 is a wasteful number, since it uses less digits than its factorization.

11689546752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 348 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The spelling of 11689546752 in words is "eleven billion, six hundred eighty-nine million, five hundred forty-six thousand, seven hundred fifty-two".