10680800808601 has 24 divisors (see below), whose sum is σ = 14054069553984. Its totient is φ = 7884664964640.

The previous prime is 10680800808581. The next prime is 10680800808631.

10680800808601 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10680800808601 - 2⁵ = 10680800808569 is a prime.

It is a super-2 number, since 2×10680800808601² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10680800808631) 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 23 ways as a sum of consecutive naturals, for example, 192093670 + ... + 192149263.

It is an arithmetic number, because the mean of its divisors is an integer number (585586231416).

Almost surely, 2^{10680800808601} is an apocalyptic number.

10680800808601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10680800808601 is a deficient number, since it is larger than the sum of its proper divisors (3373268745383).

10680800808601 is a wasteful number, since it uses less digits than its factorization.

10680800808601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384242989 (or 384242970 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 46.

The spelling of 10680800808601 in words is "ten trillion, six hundred eighty billion, eight hundred million, eight hundred eight thousand, six hundred one".