12583969776 has 240 divisors, whose sum is σ = 41403510720. Its totient is φ = 3493601280.

The previous prime is 12583969763. The next prime is 12583969793. The reversal of 12583969776 is 67796938521.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5822136 + ... + 5824296.

It is an arithmetic number, because the mean of its divisors is an integer number (172514628).

Almost surely, 2^12583969776 is an apocalyptic number.

12583969776 is a gapful number since it is divisible by the number (16) 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 12583969776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20701755360).

12583969776 is an abundant number, since it is smaller than the sum of its proper divisors (28819540944).

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

12583969776 is a wasteful number, since it uses less digits than its factorization.

12583969776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344 (or 2335 counting only the distinct ones).

The product of its digits is 34292160, while the sum is 63.

The spelling of 12583969776 in words is "twelve billion, five hundred eighty-three million, nine hundred sixty-nine thousand, seven hundred seventy-six".