12675261231360 has 4320 divisors, whose sum is σ = 60478814398464. Its totient is φ = 2508226560000.

The previous prime is 12675261231349. The next prime is 12675261231403. The reversal of 12675261231360 is 6313216257621.

12675261231360 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 5 + 261 + 23 + 1 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 479 ways as a sum of consecutive naturals, for example, 83942127285 + ... + 83942127435.

Almost surely, 2^{12675261231360} is an apocalyptic number.

12675261231360 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 12675261231360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30239407199232).

12675261231360 is an abundant number, since it is smaller than the sum of its proper divisors (47803553167104).

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

12675261231360 is a wasteful number, since it uses less digits than its factorization.

12675261231360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

Adding to 12675261231360 its reverse (6313216257621), we get a palindrome (18988477488981).

The spelling of 12675261231360 in words is "twelve trillion, six hundred seventy-five billion, two hundred sixty-one million, two hundred thirty-one thousand, three hundred sixty".