12853760503680 has 1536 divisors, whose sum is σ = 52183849536000. Its totient is φ = 3003756576768.

The previous prime is 12853760503679. The next prime is 12853760503681. The reversal of 12853760503680 is 8630506735821.

12853760503680 is a `hidden beast` number, since 1 + 2 + 8 + 5 + 3 + 76 + 0 + 503 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12853760503679) and next prime (12853760503681).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12853760503681) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 2963742472 + ... + 2963746808.

It is an arithmetic number, because the mean of its divisors is an integer number (33973860375).

Almost surely, 2^{12853760503680} is an apocalyptic number.

12853760503680 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 12853760503680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26091924768000).

12853760503680 is an abundant number, since it is smaller than the sum of its proper divisors (39330089032320).

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

12853760503680 is a wasteful number, since it uses less digits than its factorization.

12853760503680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4466 (or 4442 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 12853760503680 in words is "twelve trillion, eight hundred fifty-three billion, seven hundred sixty million, five hundred three thousand, six hundred eighty".