12531007488 has 160 divisors (see below), whose sum is σ = 34628140800. Its totient is φ = 4026531840.

The previous prime is 12531007469. The next prime is 12531007529. The reversal of 12531007488 is 88470013521.

It is a super-2 number, since 2×12531007488² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48758656 + ... + 48758912.

It is an arithmetic number, because the mean of its divisors is an integer number (216425880).

Almost surely, 2^12531007488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12531007488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17314070400).

12531007488 is an abundant number, since it is smaller than the sum of its proper divisors (22097133312).

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

12531007488 is an frugal number, since it uses more digits than its factorization.

12531007488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The spelling of 12531007488 in words is "twelve billion, five hundred thirty-one million, seven thousand, four hundred eighty-eight".