10679431800 has 96 divisors (see below), whose sum is σ = 34174241280. Its totient is φ = 2755977600.

The previous prime is 10679431793. The next prime is 10679431879. The reversal of 10679431800 is 813497601.

10679431800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10679431800² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268482 + ... + 305681.

It is an arithmetic number, because the mean of its divisors is an integer number (355981680).

Almost surely, 2^10679431800 is an apocalyptic number.

10679431800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10679431800 is an abundant number, since it is smaller than the sum of its proper divisors (23494809480).

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

10679431800 is a wasteful number, since it uses less digits than its factorization.

10679431800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574213 (or 574204 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 10679431800 in words is "ten billion, six hundred seventy-nine million, four hundred thirty-one thousand, eight hundred".