10680887808 has 120 divisors (see below), whose sum is σ = 31820570496. Its totient is φ = 3445401600.

The previous prime is 10680887807. The next prime is 10680887809. The reversal of 10680887808 is 80878808601.

It is an interprime number because it is at equal distance from previous prime (10680887807) and next prime (10680887809).

It is a super-2 number, since 2×10680887808² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10680887807) 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 11 ways as a sum of consecutive naturals, for example, 105463 + ... + 180233.

Almost surely, 2^10680887808 is an apocalyptic number.

10680887808 is a gapful number since it is divisible by the number (18) 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 10680887808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15910285248).

10680887808 is an abundant number, since it is smaller than the sum of its proper divisors (21139682688).

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

10680887808 is an equidigital number, since it uses as much as digits as its factorization.

10680887808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74826 (or 74807 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 54.

The spelling of 10680887808 in words is "ten billion, six hundred eighty million, eight hundred eighty-seven thousand, eight hundred eight".