12536106579360 has 2304 divisors, whose sum is σ = 57801218872320. Its totient is φ = 2476057559040.

The previous prime is 12536106579331. The next prime is 12536106579401. The reversal of 12536106579360 is 6397560163521.

12536106579360 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 6 + 1 + 0 + 6 + 579 + 3 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 12536106579297 and 12536106579306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 27193289530 + ... + 27193289990.

It is an arithmetic number, because the mean of its divisors is an integer number (25087334580).

Almost surely, 2^{12536106579360} is an apocalyptic number.

12536106579360 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 12536106579360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28900609436160).

12536106579360 is an abundant number, since it is smaller than the sum of its proper divisors (45265112292960).

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

12536106579360 is a wasteful number, since it uses less digits than its factorization.

12536106579360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The spelling of 12536106579360 in words is "twelve trillion, five hundred thirty-six billion, one hundred six million, five hundred seventy-nine thousand, three hundred sixty".