11680920576 has 528 divisors, whose sum is σ = 39556293504. Its totient is φ = 3415965696.

The previous prime is 11680920571. The next prime is 11680920617. The reversal of 11680920576 is 67502908611.

11680920576 is a `hidden beast` number, since 11 + 68 + 0 + 9 + 2 + 0 + 576 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11680920571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74400690 + ... + 74400846.

Almost surely, 2^11680920576 is an apocalyptic number.

11680920576 is a gapful number since it is divisible by the number (16) 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 11680920576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19778146752).

11680920576 is an abundant number, since it is smaller than the sum of its proper divisors (27875372928).

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

11680920576 is a wasteful number, since it uses less digits than its factorization.

11680920576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 11680920576 in words is "eleven billion, six hundred eighty million, nine hundred twenty thousand, five hundred seventy-six".