10766412801 has 6 divisors (see below), whose sum is σ = 15551485170. Its totient is φ = 7177608528.

The previous prime is 10766412779. The next prime is 10766412803. The reversal of 10766412801 is 10821466701.

It is a happy number.

10766412801 is a `hidden beast` number, since 1 + 0 + 7 + 6 + 641 + 2 + 8 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6746979600 + 4019433201 = 82140^2 + 63399^2 .

It is not a de Polignac number, because 10766412801 - 2⁹ = 10766412289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10766412803) 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 5 ways as a sum of consecutive naturals, for example, 598134036 + ... + 598134053.

It is an arithmetic number, because the mean of its divisors is an integer number (2591914195).

Almost surely, 2^10766412801 is an apocalyptic number.

It is an amenable number.

10766412801 is a deficient number, since it is larger than the sum of its proper divisors (4785072369).

10766412801 is a wasteful number, since it uses less digits than its factorization.

10766412801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196268095 (or 1196268092 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 10766412801 in words is "ten billion, seven hundred sixty-six million, four hundred twelve thousand, eight hundred one".