12956561819760 has 960 divisors, whose sum is σ = 48200826949632. Its totient is φ = 2858088333312.

The previous prime is 12956561819737. The next prime is 12956561819791. The reversal of 12956561819760 is 6791816565921.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12956561819691 and 12956561819700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1568017389 + ... + 1568025651.

Almost surely, 2^{12956561819760} is an apocalyptic number.

12956561819760 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 12956561819760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24100413474816).

12956561819760 is an abundant number, since it is smaller than the sum of its proper divisors (35244265129872).

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

12956561819760 is a wasteful number, since it uses less digits than its factorization.

12956561819760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8410 (or 8387 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 66.

The spelling of 12956561819760 in words is "twelve trillion, nine hundred fifty-six billion, five hundred sixty-one million, eight hundred nineteen thousand, seven hundred sixty".