13706921165600 has 216 divisors, whose sum is σ = 37213334561340. Its totient is φ = 4924231004160.

The previous prime is 13706921165533. The next prime is 13706921165603. The reversal of 13706921165600 is 656112960731.

It can be written as a sum of positive squares in 18 ways, for example, as 4564256233744 + 9142664931856 = 2136412^2 + 3023684^2 .

It is not an unprimeable number, because it can be changed into a prime (13706921165603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3632366 + ... + 6372434.

Almost surely, 2^{13706921165600} is an apocalyptic number.

13706921165600 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 13706921165600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18606667280670).

13706921165600 is an abundant number, since it is smaller than the sum of its proper divisors (23506413395740).

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

13706921165600 is a wasteful number, since it uses less digits than its factorization.

13706921165600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2740152 (or 2740126 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 47.

The spelling of 13706921165600 in words is "thirteen trillion, seven hundred six billion, nine hundred twenty-one million, one hundred sixty-five thousand, six hundred".