13678872330240 has 2304 divisors, whose sum is σ = 56575809763200. Its totient is φ = 3160078811136.

The previous prime is 13678872330199. The next prime is 13678872330241. The reversal of 13678872330240 is 4203327887631.

13678872330240 is a `hidden beast` number, since 1 + 3 + 67 + 8 + 8 + 7 + 2 + 330 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×13678872330240² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13678872330241) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 127839928267 + ... + 127839928373.

Almost surely, 2^{13678872330240} is an apocalyptic number.

13678872330240 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 13678872330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28287904881600).

13678872330240 is an abundant number, since it is smaller than the sum of its proper divisors (42896937432960).

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

13678872330240 is an equidigital number, since it uses as much as digits as its factorization.

13678872330240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 13678872330240 in words is "thirteen trillion, six hundred seventy-eight billion, eight hundred seventy-two million, three hundred thirty thousand, two hundred forty".