12529380864 has 640 divisors, whose sum is σ = 46527022080. Its totient is φ = 2890137600.

The previous prime is 12529380841. The next prime is 12529380869. The reversal of 12529380864 is 46808392521.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12529380869) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44588404 + ... + 44588684.

It is an arithmetic number, because the mean of its divisors is an integer number (72698472).

Almost surely, 2^12529380864 is an apocalyptic number.

12529380864 is a gapful number since it is divisible by the number (14) 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 12529380864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23263511040).

12529380864 is an abundant number, since it is smaller than the sum of its proper divisors (33997641216).

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

12529380864 is a wasteful number, since it uses less digits than its factorization.

12529380864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

It can be divided in two parts, 12529 and 380864, that added together give a palindrome (393393).

The spelling of 12529380864 in words is "twelve billion, five hundred twenty-nine million, three hundred eighty thousand, eight hundred sixty-four".