13507980441216 has 64 divisors (see below), whose sum is σ = 35955480787200. Its totient is φ = 4493259960320.

The previous prime is 13507980441211. The next prime is 13507980441223. The reversal of 13507980441216 is 61214408970531.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (13507980441211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36535305 + ... + 36903176.

It is an arithmetic number, because the mean of its divisors is an integer number (561804387300).

It is a 2-persistent number, because it is pandigital, and so is 2⋅13507980441216 = 27015960882432, but 3⋅13507980441216 = 40523941323648 is not.

Almost surely, 2^{13507980441216} is an apocalyptic number.

13507980441216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13507980441216 is an abundant number, since it is smaller than the sum of its proper divisors (22447500345984).

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

13507980441216 is an equidigital number, since it uses as much as digits as its factorization.

13507980441216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73438977 (or 73438965 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 13507980441216 in words is "thirteen trillion, five hundred seven billion, nine hundred eighty million, four hundred forty-one thousand, two hundred sixteen".