12685759488 has 528 divisors, whose sum is σ = 41927800320. Its totient is φ = 3782246400.

The previous prime is 12685759483. The next prime is 12685759547. The reversal of 12685759488 is 88495758621.

12685759488 is a `hidden beast` number, since 1 + 2 + 6 + 85 + 75 + 9 + 488 = 666.

Its product of digits (38707200) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12685759483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 309408748 + ... + 309408788.

Almost surely, 2^12685759488 is an apocalyptic number.

12685759488 is a gapful number since it is divisible by the number (18) 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 12685759488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20963900160).

12685759488 is an abundant number, since it is smaller than the sum of its proper divisors (29242040832).

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

12685759488 is a wasteful number, since it uses less digits than its factorization.

12685759488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 96 counting only the distinct ones).

The product of its digits is 38707200, while the sum is 63.

The spelling of 12685759488 in words is "twelve billion, six hundred eighty-five million, seven hundred fifty-nine thousand, four hundred eighty-eight".