12781665180 has 216 divisors, whose sum is σ = 42181448400. Its totient is φ = 3124085760.

The previous prime is 12781665131. The next prime is 12781665217. The reversal of 12781665180 is 8156618721.

12781665180 is a `hidden beast` number, since 1 + 2 + 78 + 1 + 66 + 518 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3284676 + ... + 3288564.

Almost surely, 2^12781665180 is an apocalyptic number.

12781665180 is a gapful number since it is divisible by the number (10) 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 12781665180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21090724200).

12781665180 is an abundant number, since it is smaller than the sum of its proper divisors (29399783220).

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

12781665180 is a wasteful number, since it uses less digits than its factorization.

12781665180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3985 (or 3949 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 12781665180 in words is "twelve billion, seven hundred eighty-one million, six hundred sixty-five thousand, one hundred eighty".