12583840320 has 224 divisors, whose sum is σ = 44527622400. Its totient is φ = 3345518592.

The previous prime is 12583840309. The next prime is 12583840333. The reversal of 12583840320 is 2304838521.

12583840320 is a `hidden beast` number, since 1 + 2 + 583 + 8 + 40 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3099732 + ... + 3103788.

Almost surely, 2^12583840320 is an apocalyptic number.

12583840320 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 12583840320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22263811200).

12583840320 is an abundant number, since it is smaller than the sum of its proper divisors (31943782080).

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

12583840320 is a wasteful number, since it uses less digits than its factorization.

12583840320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4442 (or 4426 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 12583840320 in words is "twelve billion, five hundred eighty-three million, eight hundred forty thousand, three hundred twenty".