13512359340480 has 1344 divisors, whose sum is σ = 59096347656192. Its totient is φ = 2571210915840.

The previous prime is 13512359340449. The next prime is 13512359340523. The reversal of 13512359340480 is 8404395321531.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 854285532 + ... + 854301348.

It is an arithmetic number, because the mean of its divisors is an integer number (43970496768).

Almost surely, 2^{13512359340480} is an apocalyptic number.

13512359340480 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 13512359340480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29548173828096).

13512359340480 is an abundant number, since it is smaller than the sum of its proper divisors (45583988315712).

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

13512359340480 is a wasteful number, since it uses less digits than its factorization.

13512359340480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16002 (or 15985 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 13512359340480 in words is "thirteen trillion, five hundred twelve billion, three hundred fifty-nine million, three hundred forty thousand, four hundred eighty".