13187562506256 has 80 divisors (see below), whose sum is σ = 34390610020800. Its totient is φ = 4354234182144.

The previous prime is 13187562506231. The next prime is 13187562506257. The reversal of 13187562506256 is 65260526578131.

It is a junction number, because it is equal to n+sod(n) for n = 13187562506196 and 13187562506205.

It is not an unprimeable number, because it can be changed into a prime (13187562506257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17359375 + ... + 18103121.

It is an arithmetic number, because the mean of its divisors is an integer number (429882625260).

Almost surely, 2^{13187562506256} is an apocalyptic number.

13187562506256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13187562506256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17195305010400).

13187562506256 is an abundant number, since it is smaller than the sum of its proper divisors (21203047514544).

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

13187562506256 is a wasteful number, since it uses less digits than its factorization.

13187562506256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747256 (or 747250 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 57.

The spelling of 13187562506256 in words is "thirteen trillion, one hundred eighty-seven billion, five hundred sixty-two million, five hundred six thousand, two hundred fifty-six".