12770006600 has 96 divisors (see below), whose sum is σ = 32049198720. Its totient is φ = 4704011520.

The previous prime is 12770006597. The next prime is 12770006611. The reversal of 12770006600 is 660007721.

12770006600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1146257 + ... + 1157343.

It is an arithmetic number, because the mean of its divisors is an integer number (333845820).

Almost surely, 2^12770006600 is an apocalyptic number.

12770006600 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 12770006600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16024599360).

12770006600 is an abundant number, since it is smaller than the sum of its proper divisors (19279192120).

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

12770006600 is a wasteful number, since it uses less digits than its factorization.

12770006600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11559 (or 11550 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 29.

The spelling of 12770006600 in words is "twelve billion, seven hundred seventy million, six thousand, six hundred".