11683707552 has 288 divisors, whose sum is σ = 37638881280. Its totient is φ = 3405888000.

The previous prime is 11683707551. The next prime is 11683707559. The reversal of 11683707552 is 25570738611.

It is a happy number.

11683707552 is a `hidden beast` number, since 1 + 1 + 68 + 37 + 0 + 7 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 11683707498 and 11683707507.

It is not an unprimeable number, because it can be changed into a prime (11683707551) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26614149 + ... + 26614587.

It is an arithmetic number, because the mean of its divisors is an integer number (130690560).

Almost surely, 2^11683707552 is an apocalyptic number.

11683707552 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 11683707552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18819440640).

11683707552 is an abundant number, since it is smaller than the sum of its proper divisors (25955173728).

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

11683707552 is a wasteful number, since it uses less digits than its factorization.

11683707552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 11683707552 in words is "eleven billion, six hundred eighty-three million, seven hundred seven thousand, five hundred fifty-two".