12820478589432 has 192 divisors, whose sum is σ = 37405881077760. Its totient is φ = 3956384044800.

The previous prime is 12820478589431. The next prime is 12820478589533. The reversal of 12820478589432 is 23498587402821.

12820478589432 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 0 + 4 + 7 + 8 + 589 + 43 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12820478589432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12820478589431) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 11155207 + ... + 12250697.

It is an arithmetic number, because the mean of its divisors is an integer number (194822297280).

Almost surely, 2^{12820478589432} is an apocalyptic number.

12820478589432 is a gapful number since it is divisible by the number (12) 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 12820478589432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18702940538880).

12820478589432 is an abundant number, since it is smaller than the sum of its proper divisors (24585402488328).

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

12820478589432 is a wasteful number, since it uses less digits than its factorization.

12820478589432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095754 (or 1095747 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 12820478589432 in words is "twelve trillion, eight hundred twenty billion, four hundred seventy-eight million, five hundred eighty-nine thousand, four hundred thirty-two".