13512185140960 has 96 divisors (see below), whose sum is σ = 35265404160000. Its totient is φ = 4851325340160.

The previous prime is 13512185140957. The next prime is 13512185140991. The reversal of 13512185140960 is 6904158121531.

13512185140960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13512185140960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48451960 + ... + 48730039.

It is an arithmetic number, because the mean of its divisors is an integer number (367347960000).

Almost surely, 2^{13512185140960} is an apocalyptic number.

13512185140960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13512185140960 is an abundant number, since it is smaller than the sum of its proper divisors (21753219019040).

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

13512185140960 is a wasteful number, since it uses less digits than its factorization.

13512185140960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97182104 (or 97182096 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 46.

The spelling of 13512185140960 in words is "thirteen trillion, five hundred twelve billion, one hundred eighty-five million, one hundred forty thousand, nine hundred sixty".