11506815824688 has 240 divisors, whose sum is σ = 34065608518656. Its totient is φ = 3620157166080.

The previous prime is 11506815824663. The next prime is 11506815824723. The reversal of 11506815824688 is 88642851860511.

11506815824688 is a `hidden beast` number, since 1 + 1 + 5 + 0 + 6 + 8 + 1 + 582 + 46 + 8 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129907231 + ... + 129995777.

Almost surely, 2^{11506815824688} is an apocalyptic number.

11506815824688 is a gapful number since it is divisible by the number (18) 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 11506815824688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17032804259328).

11506815824688 is an abundant number, since it is smaller than the sum of its proper divisors (22558792693968).

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

11506815824688 is a wasteful number, since it uses less digits than its factorization.

11506815824688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89312 (or 89303 counting only the distinct ones).

The product of its (nonzero) digits is 29491200, while the sum is 63.

The spelling of 11506815824688 in words is "eleven trillion, five hundred six billion, eight hundred fifteen million, eight hundred twenty-four thousand, six hundred eighty-eight".