13416882703872 has 240 divisors, whose sum is σ = 37073218255920. Its totient is φ = 4311426465792.

The previous prime is 13416882703867. The next prime is 13416882703879. The reversal of 13416882703872 is 27830728861431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13416882703879) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229174188 + ... + 229232724.

It is an arithmetic number, because the mean of its divisors is an integer number (154471742733).

Almost surely, 2^{13416882703872} is an apocalyptic number.

13416882703872 is a gapful number since it is divisible by the number (12) 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 13416882703872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18536609127960).

13416882703872 is an abundant number, since it is smaller than the sum of its proper divisors (23656335552048).

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

13416882703872 is an equidigital number, since it uses as much as digits as its factorization.

13416882703872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58741 (or 58688 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 60.

It can be divided in two parts, 13416 and 882703872, that added together give a palindrome (882717288).

The spelling of 13416882703872 in words is "thirteen trillion, four hundred sixteen billion, eight hundred eighty-two million, seven hundred three thousand, eight hundred seventy-two".