12075591360 has 672 divisors, whose sum is σ = 47951136000. Its totient is φ = 2559320064.

The previous prime is 12075591349. The next prime is 12075591361. The reversal of 12075591360 is 6319557021.

12075591360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (12075591361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52731726 + ... + 52731954.

Almost surely, 2^12075591360 is an apocalyptic number.

12075591360 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 12075591360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23975568000).

12075591360 is an abundant number, since it is smaller than the sum of its proper divisors (35875544640).

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

12075591360 is a wasteful number, since it uses less digits than its factorization.

12075591360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 39.

The spelling of 12075591360 in words is "twelve billion, seventy-five million, five hundred ninety-one thousand, three hundred sixty".