10679275600 has 90 divisors (see below), whose sum is σ = 29845905774. Its totient is φ = 3661459200.

The previous prime is 10679275597. The next prime is 10679275601. The reversal of 10679275600 is 657297601.

It can be written as a sum of positive squares in 3 ways, for example, as 21603904 + 10657671696 = 4648^2 + 103236^2 .

It is a super-2 number, since 2×10679275600² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10679275601) 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 17 ways as a sum of consecutive naturals, for example, 252831 + ... + 292030.

Almost surely, 2^10679275600 is an apocalyptic number.

10679275600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10679275600 is an abundant number, since it is smaller than the sum of its proper divisors (19166630174).

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

10679275600 is a wasteful number, since it uses less digits than its factorization.

10679275600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544893 (or 544875 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 43.

The spelling of 10679275600 in words is "ten billion, six hundred seventy-nine million, two hundred seventy-five thousand, six hundred".