12786481152 has 144 divisors (see below), whose sum is σ = 38298962520. Its totient is φ = 4261994496.

The previous prime is 12786481151. The next prime is 12786481157. The reversal of 12786481152 is 25118468721.

12786481152 is a `hidden beast` number, since 12 + 7 + 8 + 6 + 481 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 12786481098 and 12786481107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12786481151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 484818 + ... + 510510.

Almost surely, 2^12786481152 is an apocalyptic number.

12786481152 is a gapful number since it is divisible by the number (12) 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 12786481152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19149481260).

12786481152 is an abundant number, since it is smaller than the sum of its proper divisors (25512481368).

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

12786481152 is an frugal number, since it uses more digits than its factorization.

12786481152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25730 (or 25698 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

The spelling of 12786481152 in words is "twelve billion, seven hundred eighty-six million, four hundred eighty-one thousand, one hundred fifty-two".