12936968035560 has 320 divisors, whose sum is σ = 44445650071680. Its totient is φ = 3373869058560.

The previous prime is 12936968035547. The next prime is 12936968035577. The reversal of 12936968035560 is 6553086963921.

12936968035560 is a `hidden beast` number, since 1 + 2 + 9 + 3 + 6 + 9 + 68 + 0 + 3 + 5 + 560 = 666.

12936968035560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 53283799 + ... + 53526041.

It is an arithmetic number, because the mean of its divisors is an integer number (138892656474).

Almost surely, 2^{12936968035560} is an apocalyptic number.

12936968035560 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 12936968035560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22222825035840).

12936968035560 is an abundant number, since it is smaller than the sum of its proper divisors (31508682036120).

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

12936968035560 is a wasteful number, since it uses less digits than its factorization.

12936968035560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242630 (or 242617 counting only the distinct ones).

The product of its (nonzero) digits is 62985600, while the sum is 63.

The spelling of 12936968035560 in words is "twelve trillion, nine hundred thirty-six billion, nine hundred sixty-eight million, thirty-five thousand, five hundred sixty".