13008095600 has 60 divisors (see below), whose sum is σ = 31279419864. Its totient is φ = 5198664960.

The previous prime is 13008095567. The next prime is 13008095669. The reversal of 13008095600 is 659080031.

13008095600 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 2×13008095600² (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 11 ways as a sum of consecutive naturals, for example, 461102 + ... + 488498.

Almost surely, 2^13008095600 is an apocalyptic number.

13008095600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13008095600 is an abundant number, since it is smaller than the sum of its proper divisors (18271324264).

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

13008095600 is a wasteful number, since it uses less digits than its factorization.

13008095600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28602 (or 28591 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The spelling of 13008095600 in words is "thirteen billion, eight million, ninety-five thousand, six hundred".