10680755080716 has 432 divisors, whose sum is σ = 32809625721600. Its totient is φ = 3029242043520.

The previous prime is 10680755080711. The next prime is 10680755080733. The reversal of 10680755080716 is 61708055708601.

10680755080716 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 0 + 7 + 550 + 80 + 7 + 1 + 6 = 666.

It is a super-3 number, since 3×10680755080716³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (10680755080711) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 5127581811 + ... + 5127583893.

Almost surely, 2^{10680755080716} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10680755080716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16404812860800).

10680755080716 is an abundant number, since it is smaller than the sum of its proper divisors (22128870640884).

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

10680755080716 is a wasteful number, since it uses less digits than its factorization.

10680755080716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2856 (or 2835 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 10680755080716 in words is "ten trillion, six hundred eighty billion, seven hundred fifty-five million, eighty thousand, seven hundred sixteen".