12960189391552 has 112 divisors (see below), whose sum is σ = 29393414773632. Its totient is φ = 5616700784640.

The previous prime is 12960189391531. The next prime is 12960189391571. The reversal of 12960189391552 is 25519398106921.

It is a super-3 number, since 3×12960189391552³ (a number of 40 digits) contains 333 as substring.

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, 5033068 + ... + 7159060.

It is an arithmetic number, because the mean of its divisors is an integer number (262441203336).

Almost surely, 2^{12960189391552} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12960189391552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14696707386816).

12960189391552 is an abundant number, since it is smaller than the sum of its proper divisors (16433225382080).

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

12960189391552 is a wasteful number, since it uses less digits than its factorization.

12960189391552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2126466 (or 2126456 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 61.

The spelling of 12960189391552 in words is "twelve trillion, nine hundred sixty billion, one hundred eighty-nine million, three hundred ninety-one thousand, five hundred fifty-two".