12525561216 has 384 divisors, whose sum is σ = 44871840000. Its totient is φ = 3272306688.

The previous prime is 12525561211. The next prime is 12525561229. The reversal of 12525561216 is 61216552521.

12525561216 is a `hidden beast` number, since 1 + 2 + 5 + 25 + 5 + 612 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12525561211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4441855 + ... + 4444673.

It is an arithmetic number, because the mean of its divisors is an integer number (116853750).

Almost surely, 2^12525561216 is an apocalyptic number.

12525561216 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 12525561216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22435920000).

12525561216 is an abundant number, since it is smaller than the sum of its proper divisors (32346278784).

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

12525561216 is a wasteful number, since it uses less digits than its factorization.

12525561216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2894 (or 2879 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

The spelling of 12525561216 in words is "twelve billion, five hundred twenty-five million, five hundred sixty-one thousand, two hundred sixteen".