12588494688 has 768 divisors, whose sum is σ = 50396774400. Its totient is φ = 2956124160.

The previous prime is 12588494683. The next prime is 12588494689. The reversal of 12588494688 is 88649488521.

12588494688 is a `hidden beast` number, since 1 + 2 + 5 + 88 + 494 + 68 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (35389440) is a multiple of the sum of its prime factors (512).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12588494683) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29072520 + ... + 29072952.

It is an arithmetic number, because the mean of its divisors is an integer number (65620800).

Almost surely, 2^12588494688 is an apocalyptic number.

12588494688 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 12588494688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25198387200).

12588494688 is an abundant number, since it is smaller than the sum of its proper divisors (37808279712).

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

12588494688 is a wasteful number, since it uses less digits than its factorization.

12588494688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 498 counting only the distinct ones).

The product of its digits is 35389440, while the sum is 63.

The spelling of 12588494688 in words is "twelve billion, five hundred eighty-eight million, four hundred ninety-four thousand, six hundred eighty-eight".