12536461360 has 80 divisors (see below), whose sum is σ = 30426213312. Its totient is φ = 4799001600.

The previous prime is 12536461339. The next prime is 12536461361. The reversal of 12536461360 is 6316463521.

12536461360 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 (80).

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (12536461361) 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 15 ways as a sum of consecutive naturals, for example, 145845 + ... + 215275.

Almost surely, 2^12536461360 is an apocalyptic number.

12536461360 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 12536461360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15213106656).

12536461360 is an abundant number, since it is smaller than the sum of its proper divisors (17889751952).

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

12536461360 is a wasteful number, since it uses less digits than its factorization.

12536461360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69542 (or 69536 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The spelling of 12536461360 in words is "twelve billion, five hundred thirty-six million, four hundred sixty-one thousand, three hundred sixty".