12583002432 has 672 divisors, whose sum is σ = 46700236800. Its totient is φ = 2937876480.

The previous prime is 12583002427. The next prime is 12583002433. The reversal of 12583002432 is 23420038521.

It is a tau number, because it is divible by the number of its divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 12583002432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12583002433) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63231069 + ... + 63231267.

It is an arithmetic number, because the mean of its divisors is an integer number (69494400).

Almost surely, 2^12583002432 is an apocalyptic number.

12583002432 is a gapful number since it is divisible by the number (12) 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 12583002432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23350118400).

12583002432 is an abundant number, since it is smaller than the sum of its proper divisors (34117234368).

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

12583002432 is a wasteful number, since it uses less digits than its factorization.

12583002432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 12583002432 in words is "twelve billion, five hundred eighty-three million, two thousand, four hundred thirty-two".