12575284416 has 168 divisors, whose sum is σ = 37405056000. Its totient is φ = 4035018240.

The previous prime is 12575284409. The next prime is 12575284417. The reversal of 12575284416 is 61448257521.

12575284416 is a `hidden beast` number, since 1 + 2 + 575 + 28 + 44 + 16 = 666.

12575284416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×12575284416³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (12575284417) 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 23 ways as a sum of consecutive naturals, for example, 3551575 + ... + 3555113.

Almost surely, 2^12575284416 is an apocalyptic number.

12575284416 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 12575284416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18702528000).

12575284416 is an abundant number, since it is smaller than the sum of its proper divisors (24829771584).

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

12575284416 is a wasteful number, since it uses less digits than its factorization.

12575284416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3787 (or 3774 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The spelling of 12575284416 in words is "twelve billion, five hundred seventy-five million, two hundred eighty-four thousand, four hundred sixteen".