12515574720 has 448 divisors, whose sum is σ = 44942833152. Its totient is φ = 2924544000.

The previous prime is 12515574719. The next prime is 12515574733. The reversal of 12515574720 is 2747551521.

12515574720 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-2 number, since 2×12515574720² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 59315415 + ... + 59315625.

It is an arithmetic number, because the mean of its divisors is an integer number (100318824).

Almost surely, 2^12515574720 is an apocalyptic number.

12515574720 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 12515574720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22471416576).

12515574720 is an abundant number, since it is smaller than the sum of its proper divisors (32427258432).

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

12515574720 is a wasteful number, since it uses less digits than its factorization.

12515574720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 98000, while the sum is 39.

The spelling of 12515574720 in words is "twelve billion, five hundred fifteen million, five hundred seventy-four thousand, seven hundred twenty".