12583630080 has 864 divisors, whose sum is σ = 53875261440. Its totient is φ = 2647572480.

The previous prime is 12583630079. The next prime is 12583630109. The reversal of 12583630080 is 8003638521.

12583630080 is a `hidden beast` number, since 12 + 5 + 8 + 3 + 630 + 0 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65882785 + ... + 65882975.

Almost surely, 2^12583630080 is an apocalyptic number.

12583630080 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 12583630080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26937630720).

12583630080 is an abundant number, since it is smaller than the sum of its proper divisors (41291631360).

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

12583630080 is a wasteful number, since it uses less digits than its factorization.

12583630080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 12583630080 in words is "twelve billion, five hundred eighty-three million, six hundred thirty thousand, eighty".