12583247040 has 1008 divisors, whose sum is σ = 57232113120. Its totient is φ = 2515193856.

The previous prime is 12583247029. The next prime is 12583247069. The reversal of 12583247040 is 4074238521.

It is a happy number.

12583247040 is a `hidden beast` number, since 1 + 2 + 583 + 2 + 4 + 70 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a junction number, because it is equal to n+sod(n) for n = 12583246986 and 12583247004.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 662276151 + ... + 662276169.

It is an arithmetic number, because the mean of its divisors is an integer number (56777890).

Almost surely, 2^12583247040 is an apocalyptic number.

12583247040 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 12583247040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28616056560).

12583247040 is an abundant number, since it is smaller than the sum of its proper divisors (44648866080).

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

12583247040 is a wasteful number, since it uses less digits than its factorization.

12583247040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 12583247040 in words is "twelve billion, five hundred eighty-three million, two hundred forty-seven thousand, forty".