12709155264960 has 896 divisors, whose sum is σ = 50646596419584. Its totient is φ = 2623181783040.

The previous prime is 12709155264877. The next prime is 12709155264991. The reversal of 12709155264960 is 6946255190721.

12709155264960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 12709155264960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8028524329 + ... + 8028525911.

Almost surely, 2^{12709155264960} is an apocalyptic number.

12709155264960 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 12709155264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25323298209792).

12709155264960 is an abundant number, since it is smaller than the sum of its proper divisors (37937441154624).

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

12709155264960 is a wasteful number, since it uses less digits than its factorization.

12709155264960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2281 (or 2271 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 57.

The spelling of 12709155264960 in words is "twelve trillion, seven hundred nine billion, one hundred fifty-five million, two hundred sixty-four thousand, nine hundred sixty".