12765066820 has 72 divisors (see below), whose sum is σ = 29576194200. Its totient is φ = 4624350720.

The previous prime is 12765066791. The next prime is 12765066827. The reversal of 12765066820 is 2866056721.

It can be written as a sum of positive squares in 4 ways, for example, as 2218598404 + 10546468416 = 47102^2 + 102696^2 .

It is not an unprimeable number, because it can be changed into a prime (12765066827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 641176 + ... + 660784.

It is an arithmetic number, because the mean of its divisors is an integer number (410780475).

Almost surely, 2^12765066820 is an apocalyptic number.

12765066820 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 12765066820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14788097100).

12765066820 is an abundant number, since it is smaller than the sum of its proper divisors (16811127380).

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

12765066820 is a wasteful number, since it uses less digits than its factorization.

12765066820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19909 (or 19896 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The spelling of 12765066820 in words is "twelve billion, seven hundred sixty-five million, sixty-six thousand, eight hundred twenty".