12580178140416 has 288 divisors, whose sum is σ = 35761908768768. Its totient is φ = 3912236236800.

The previous prime is 12580178140403. The next prime is 12580178140417. The reversal of 12580178140416 is 61404187108521.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12580178140417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 960092521 + ... + 960105623.

It is an arithmetic number, because the mean of its divisors is an integer number (124173294336).

Almost surely, 2^{12580178140416} is an apocalyptic number.

12580178140416 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 12580178140416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17880954384384).

12580178140416 is an abundant number, since it is smaller than the sum of its proper divisors (23181730628352).

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

12580178140416 is a wasteful number, since it uses less digits than its factorization.

12580178140416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13777 (or 13763 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 48.

The spelling of 12580178140416 in words is "twelve trillion, five hundred eighty billion, one hundred seventy-eight million, one hundred forty thousand, four hundred sixteen".