12456528540 has 96 divisors (see below), whose sum is σ = 35330756160. Its totient is φ = 3278831616.

The previous prime is 12456528533. The next prime is 12456528559. The reversal of 12456528540 is 4582565421.

It is a junction number, because it is equal to n+sod(n) for n = 12456528492 and 12456528501.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2377764 + ... + 2382996.

It is an arithmetic number, because the mean of its divisors is an integer number (368028710).

Almost surely, 2^12456528540 is an apocalyptic number.

12456528540 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 12456528540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17665378080).

12456528540 is an abundant number, since it is smaller than the sum of its proper divisors (22874227620).

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

12456528540 is a wasteful number, since it uses less digits than its factorization.

12456528540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5751 (or 5749 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 42.

The spelling of 12456528540 in words is "twelve billion, four hundred fifty-six million, five hundred twenty-eight thousand, five hundred forty".