12959730110880 has 576 divisors, whose sum is σ = 52950826027008. Its totient is φ = 2822130432000.

The previous prime is 12959730110843. The next prime is 12959730110891. The reversal of 12959730110880 is 8801103795921.

12959730110880 is a `hidden beast` number, since 1 + 2 + 9 + 597 + 30 + 1 + 10 + 8 + 8 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58080487 + ... + 58303193.

It is an arithmetic number, because the mean of its divisors is an integer number (91928517408).

Almost surely, 2^{12959730110880} is an apocalyptic number.

12959730110880 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 12959730110880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26475413013504).

12959730110880 is an abundant number, since it is smaller than the sum of its proper divisors (39991095916128).

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

12959730110880 is a wasteful number, since it uses less digits than its factorization.

12959730110880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223009 (or 222998 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 54.

The spelling of 12959730110880 in words is "twelve trillion, nine hundred fifty-nine billion, seven hundred thirty million, one hundred ten thousand, eight hundred eighty".