13087463875600 has 45 divisors (see below), whose sum is σ = 31442805790653. Its totient is φ = 5234956608960.

The previous prime is 13087463875583. The next prime is 13087463875613. The reversal of 13087463875600 is 657836478031.

The square root of 13087463875600 is 3617660.

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

It can be written as a sum of positive squares in only one way, i.e., 4711486995216 + 8375976880384 = 2170596^2 + 2894128^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 72262759 + ... + 72443641.

Almost surely, 2^{13087463875600} is an apocalyptic number.

13087463875600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13087463875600 is the 3617660-th square number.

It is an amenable number.

13087463875600 is an abundant number, since it is smaller than the sum of its proper divisors (18355341915053).

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

13087463875600 is an frugal number, since it uses more digits than its factorization.

13087463875600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361784 (or 180890 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 58.

The spelling of 13087463875600 in words is "thirteen trillion, eighty-seven billion, four hundred sixty-three million, eight hundred seventy-five thousand, six hundred".