12784361103360 has 2016 divisors, whose sum is σ = 58345641349632. Its totient is φ = 2655375851520.

The previous prime is 12784361103299. The next prime is 12784361103383. The reversal of 12784361103360 is 6330116348721.

12784361103360 is a `hidden beast` number, since 1 + 2 + 78 + 436 + 110 + 3 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×12784361103360² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5364816729 + ... + 5364819111.

It is an arithmetic number, because the mean of its divisors is an integer number (28941290352).

Almost surely, 2^{12784361103360} is an apocalyptic number.

12784361103360 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 12784361103360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29172820674816).

12784361103360 is an abundant number, since it is smaller than the sum of its proper divisors (45561280246272).

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

12784361103360 is an equidigital number, since it uses as much as digits as its factorization.

12784361103360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2454 (or 2411 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 12784361103360 in words is "twelve trillion, seven hundred eighty-four billion, three hundred sixty-one million, one hundred three thousand, three hundred sixty".