11680065686016 has 1280 divisors, whose sum is σ = 45531952435200. Its totient is φ = 2870127820800.

The previous prime is 11680065685963. The next prime is 11680065686117. The reversal of 11680065686016 is 61068656008611.

11680065686016 is a `hidden beast` number, since 1 + 1 + 6 + 8 + 0 + 0 + 6 + 568 + 60 + 16 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1457999451 + ... + 1458007461.

It is an arithmetic number, because the mean of its divisors is an integer number (35571837840).

Almost surely, 2^{11680065686016} is an apocalyptic number.

11680065686016 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 11680065686016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22765976217600).

11680065686016 is an abundant number, since it is smaller than the sum of its proper divisors (33851886749184).

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

11680065686016 is a wasteful number, since it uses less digits than its factorization.

11680065686016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8138 (or 8116 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 11680065686016 in words is "eleven trillion, six hundred eighty billion, sixty-five million, six hundred eighty-six thousand, sixteen".