12765616646420 has 144 divisors (see below), whose sum is σ = 31224298588560. Its totient is φ = 4365541847040.

The previous prime is 12765616646333. The next prime is 12765616646443. The reversal of 12765616646420 is 2464661656721.

It can be written as a sum of positive squares in 8 ways, for example, as 594323813776 + 12171292832644 = 770924^2 + 3488738^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52414286 + ... + 52657274.

It is an arithmetic number, because the mean of its divisors is an integer number (216835406865).

Almost surely, 2^{12765616646420} is an apocalyptic number.

12765616646420 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 12765616646420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15612149294280).

12765616646420 is an abundant number, since it is smaller than the sum of its proper divisors (18458681942140).

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

12765616646420 is a wasteful number, since it uses less digits than its factorization.

12765616646420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244314 (or 244301 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 56.

The spelling of 12765616646420 in words is "twelve trillion, seven hundred sixty-five billion, six hundred sixteen million, six hundred forty-six thousand, four hundred twenty".