13376121860640 has 768 divisors, whose sum is σ = 55714498043904. Its totient is φ = 2615014195200.

The previous prime is 13376121860627. The next prime is 13376121860659. The reversal of 13376121860640 is 4606812167331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 13376121860640.

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 127 ways as a sum of consecutive naturals, for example, 51725904 + ... + 51983856.

It is an arithmetic number, because the mean of its divisors is an integer number (72544919328).

Almost surely, 2^{13376121860640} is an apocalyptic number.

13376121860640 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 13376121860640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27857249021952).

13376121860640 is an abundant number, since it is smaller than the sum of its proper divisors (42338376183264).

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

13376121860640 is a wasteful number, since it uses less digits than its factorization.

13376121860640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258073 (or 258065 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 13376121860640 in words is "thirteen trillion, three hundred seventy-six billion, one hundred twenty-one million, eight hundred sixty thousand, six hundred forty".