12908956820760 has 4608 divisors, whose sum is σ = 64072724889600. Its totient is φ = 2246654361600.

The previous prime is 12908956820701. The next prime is 12908956820803. The reversal of 12908956820760 is 6702865980921.

12908956820760 is a `hidden beast` number, since 1 + 2 + 9 + 0 + 8 + 9 + 568 + 2 + 0 + 7 + 60 = 666.

12908956820760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12908956820760² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 133082029032 + ... + 133082029128.

It is an arithmetic number, because the mean of its divisors is an integer number (13904671200).

Almost surely, 2^{12908956820760} is an apocalyptic number.

12908956820760 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 12908956820760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32036362444800).

12908956820760 is an abundant number, since it is smaller than the sum of its proper divisors (51163768068840).

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

12908956820760 is a wasteful number, since it uses less digits than its factorization.

12908956820760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 12908956820760 in words is "twelve trillion, nine hundred eight billion, nine hundred fifty-six million, eight hundred twenty thousand, seven hundred sixty".