11688475056768 has 128 divisors (see below), whose sum is σ = 35429593512000. Its totient is φ = 3790856733696.

The previous prime is 11688475056697. The next prime is 11688475056827. The reversal of 11688475056768 is 86765057488611.

11688475056768 is a `hidden beast` number, since 1 + 1 + 6 + 8 + 8 + 4 + 7 + 50 + 567 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 11688475056696 and 11688475056705.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45575938 + ... + 45831681.

Almost surely, 2^{11688475056768} is an apocalyptic number.

11688475056768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11688475056768 is an abundant number, since it is smaller than the sum of its proper divisors (23741118455232).

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

11688475056768 is an equidigital number, since it uses as much as digits as its factorization.

11688475056768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91407679 (or 91407661 counting only the distinct ones).

The product of its (nonzero) digits is 541900800, while the sum is 72.

The spelling of 11688475056768 in words is "eleven trillion, six hundred eighty-eight billion, four hundred seventy-five million, fifty-six thousand, seven hundred sixty-eight".