12532825440 has 240 divisors, whose sum is σ = 44793967680. Its totient is φ = 3299512320.

The previous prime is 12532825423. The next prime is 12532825469. The reversal of 12532825440 is 4452823521.

12532825440 is a `hidden beast` number, since 1 + 2 + 5 + 32 + 82 + 544 + 0 = 666.

12532825440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×12532825440² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 12532825395 and 12532825404.

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 39 ways as a sum of consecutive naturals, for example, 1017720 + ... + 1029960.

It is an arithmetic number, because the mean of its divisors is an integer number (186641532).

Almost surely, 2^12532825440 is an apocalyptic number.

12532825440 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 12532825440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22396983840).

12532825440 is an abundant number, since it is smaller than the sum of its proper divisors (32261142240).

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

12532825440 is a wasteful number, since it uses less digits than its factorization.

12532825440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12347 (or 12330 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 12532825440 in words is "twelve billion, five hundred thirty-two million, eight hundred twenty-five thousand, four hundred forty".