12583011840 has 480 divisors, whose sum is σ = 48449443680. Its totient is φ = 2774532096.

The previous prime is 12583011827. The next prime is 12583011841. The reversal of 12583011840 is 4811038521.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12583011841) 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, 10912704 + ... + 10913856.

It is an arithmetic number, because the mean of its divisors is an integer number (100936341).

Almost surely, 2^12583011840 is an apocalyptic number.

12583011840 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 12583011840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24224721840).

12583011840 is an abundant number, since it is smaller than the sum of its proper divisors (35866431840).

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

12583011840 is a wasteful number, since it uses less digits than its factorization.

12583011840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The spelling of 12583011840 in words is "twelve billion, five hundred eighty-three million, eleven thousand, eight hundred forty".