12832331713920 has 1152 divisors, whose sum is σ = 49993149024000. Its totient is φ = 3136582103040.

The previous prime is 12832331713891. The next prime is 12832331713921. The reversal of 12832331713920 is 2931713323821.

12832331713920 is a `hidden beast` number, since 1 + 2 + 8 + 323 + 317 + 1 + 3 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12832331713921) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2839637421 + ... + 2839641939.

It is an arithmetic number, because the mean of its divisors is an integer number (43396830750).

Almost surely, 2^{12832331713920} is an apocalyptic number.

12832331713920 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 12832331713920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24996574512000).

12832331713920 is an abundant number, since it is smaller than the sum of its proper divisors (37160817310080).

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

12832331713920 is an equidigital number, since it uses as much as digits as its factorization.

12832331713920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4634 (or 4579 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 12832331713920 in words is "twelve trillion, eight hundred thirty-two billion, three hundred thirty-one million, seven hundred thirteen thousand, nine hundred twenty".