13078647802080 has 2880 divisors, whose sum is σ = 59020373744640. Its totient is φ = 2666029842432.

The previous prime is 13078647802079. The next prime is 13078647802111. The reversal of 13078647802080 is 8020874687031.

It is a happy number.

13078647802080 is a `hidden beast` number, since 1 + 3 + 0 + 78 + 6 + 478 + 0 + 20 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 73065071431 + ... + 73065071609.

It is an arithmetic number, because the mean of its divisors is an integer number (20493185328).

Almost surely, 2^{13078647802080} is an apocalyptic number.

13078647802080 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 13078647802080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29510186872320).

13078647802080 is an abundant number, since it is smaller than the sum of its proper divisors (45941725942560).

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

13078647802080 is a wasteful number, since it uses less digits than its factorization.

13078647802080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 13078647802080 in words is "thirteen trillion, seventy-eight billion, six hundred forty-seven million, eight hundred two thousand, eighty".