13808878960900 has 81 divisors (see below), whose sum is σ = 31833072467679. Its totient is φ = 5198398959360.

The previous prime is 13808878960897. The next prime is 13808878960939. The reversal of 13808878960900 is 906987880831.

The square root of 13808878960900 is 3716030.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 323003535556 + 13485875425344 = 568334^2 + 3672312^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 631714171 + ... + 631736029.

Almost surely, 2^{13808878960900} is an apocalyptic number.

13808878960900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13808878960900 is the 3716030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13808878960900

13808878960900 is an abundant number, since it is smaller than the sum of its proper divisors (18024193506779).

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

13808878960900 is an frugal number, since it uses more digits than its factorization.

13808878960900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43766 (or 21883 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 67.

The spelling of 13808878960900 in words is "thirteen trillion, eight hundred eight billion, eight hundred seventy-eight million, nine hundred sixty thousand, nine hundred".