13107588560640 has 1944 divisors, whose sum is σ = 55425473301744. Its totient is φ = 2851017523200.

The previous prime is 13107588560579. The next prime is 13107588560663. The reversal of 13107588560640 is 4606588570131.

It is a happy number.

13107588560640 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 7 + 588 + 56 + 0 + 6 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 39599965275 + ... + 39599965605.

Almost surely, 2^{13107588560640} is an apocalyptic number.

13107588560640 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 13107588560640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27712736650872).

13107588560640 is an abundant number, since it is smaller than the sum of its proper divisors (42317884741104).

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

13107588560640 is a wasteful number, since it uses less digits than its factorization.

13107588560640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 13107588560640 in words is "thirteen trillion, one hundred seven billion, five hundred eighty-eight million, five hundred sixty thousand, six hundred forty".