12583421333500 has 96 divisors (see below), whose sum is σ = 27647567019072. Its totient is φ = 5003093894400.

The previous prime is 12583421333467. The next prime is 12583421333591. The reversal of 12583421333500 is 533312438521.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 428765827 + ... + 428795173.

It is an arithmetic number, because the mean of its divisors is an integer number (287995489782).

Almost surely, 2^{12583421333500} is an apocalyptic number.

12583421333500 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 12583421333500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13823783509536).

12583421333500 is an abundant number, since it is smaller than the sum of its proper divisors (15064145685572).

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

12583421333500 is a wasteful number, since it uses less digits than its factorization.

12583421333500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34496 (or 34484 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The spelling of 12583421333500 in words is "twelve trillion, five hundred eighty-three billion, four hundred twenty-one million, three hundred thirty-three thousand, five hundred".