13278130861824 has 360 divisors, whose sum is σ = 40793561202240. Its totient is φ = 4293501714432.

The previous prime is 13278130861769. The next prime is 13278130861837. The reversal of 13278130861824 is 42816803187231.

13278130861824 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 8 + 13 + 0 + 8 + 618 + 2 + 4 = 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 (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 110068612 + ... + 110189180.

It is an arithmetic number, because the mean of its divisors is an integer number (113315447784).

Almost surely, 2^{13278130861824} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13278130861824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20396780601120).

13278130861824 is an abundant number, since it is smaller than the sum of its proper divisors (27515430340416).

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

13278130861824 is a wasteful number, since it uses less digits than its factorization.

13278130861824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120757 (or 120734 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 13278130861824 in words is "thirteen trillion, two hundred seventy-eight billion, one hundred thirty million, eight hundred sixty-one thousand, eight hundred twenty-four".