12506575520 has 96 divisors (see below), whose sum is σ = 30584977920. Its totient is φ = 4827755520.

The previous prime is 12506575513. The next prime is 12506575537. The reversal of 12506575520 is 2557560521.

It is a super-3 number, since 3×12506575520³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1876514 + ... + 1883166.

It is an arithmetic number, because the mean of its divisors is an integer number (318593520).

Almost surely, 2^12506575520 is an apocalyptic number.

12506575520 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 12506575520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15292488960).

12506575520 is an abundant number, since it is smaller than the sum of its proper divisors (18078402400).

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

12506575520 is a wasteful number, since it uses less digits than its factorization.

12506575520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7078 (or 7070 counting only the distinct ones).

The product of its (nonzero) digits is 105000, while the sum is 38.

The spelling of 12506575520 in words is "twelve billion, five hundred six million, five hundred seventy-five thousand, five hundred twenty".