12806787072 has 208 divisors, whose sum is σ = 36574060032. Its totient is φ = 3971481600.

The previous prime is 12806787029. The next prime is 12806787073. The reversal of 12806787072 is 27078760821.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (12806787073) 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, 21098193 + ... + 21098799.

Almost surely, 2^12806787072 is an apocalyptic number.

12806787072 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 12806787072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18287030016).

12806787072 is an abundant number, since it is smaller than the sum of its proper divisors (23767272960).

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

12806787072 is a wasteful number, since it uses less digits than its factorization.

12806787072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 48.

The spelling of 12806787072 in words is "twelve billion, eight hundred six million, seven hundred eighty-seven thousand, seventy-two".