12383585280 has 396 divisors, whose sum is σ = 47185454316. Its totient is φ = 3000729600.

The previous prime is 12383585267. The next prime is 12383585297. The reversal of 12383585280 is 8258538321.

12383585280 is a `hidden beast` number, since 12 + 3 + 8 + 358 + 5 + 280 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6441025536 + 5942559744 = 80256^2 + 77088^2 .

It is a tau number, because it is divible by the number of its divisors (396).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 5574570 + ... + 5576790.

Almost surely, 2^12383585280 is an apocalyptic number.

12383585280 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 12383585280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23592727158).

12383585280 is an abundant number, since it is smaller than the sum of its proper divisors (34801869036).

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

12383585280 is a wasteful number, since it uses less digits than its factorization.

12383585280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2274 (or 2242 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 12383585280 in words is "twelve billion, three hundred eighty-three million, five hundred eighty-five thousand, two hundred eighty".