12395959632 has 800 divisors, whose sum is σ = 47513923200. Its totient is φ = 3072577536.

The previous prime is 12395959567. The next prime is 12395959637. The reversal of 12395959632 is 23695959321.

It is a happy number.

12395959632 is a `hidden beast` number, since 12 + 3 + 9 + 5 + 9 + 596 + 32 = 666.

12395959632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12395959637) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 335025918 + ... + 335025954.

It is an arithmetic number, because the mean of its divisors is an integer number (59392404).

Almost surely, 2^12395959632 is an apocalyptic number.

12395959632 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 12395959632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23756961600).

12395959632 is an abundant number, since it is smaller than the sum of its proper divisors (35117963568).

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

12395959632 is a wasteful number, since it uses less digits than its factorization.

12395959632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 85 counting only the distinct ones).

The product of its digits is 3936600, while the sum is 54.

The spelling of 12395959632 in words is "twelve billion, three hundred ninety-five million, nine hundred fifty-nine thousand, six hundred thirty-two".