12432374095680 has 5376 divisors, whose sum is σ = 63045319680000. Its totient is φ = 2268551577600.

The previous prime is 12432374095627. The next prime is 12432374095727. The reversal of 12432374095680 is 8659047323421.

12432374095680 is a `hidden beast` number, since 1 + 2 + 4 + 3 + 2 + 3 + 74 + 0 + 9 + 568 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 83438752246 + ... + 83438752394.

It is an arithmetic number, because the mean of its divisors is an integer number (11727180000).

It is a 1-persistent number, because it is pandigital, but 2⋅12432374095680 = 24864748191360 is not.

Almost surely, 2^{12432374095680} is an apocalyptic number.

12432374095680 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 12432374095680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31522659840000).

12432374095680 is an abundant number, since it is smaller than the sum of its proper divisors (50612945584320).

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

12432374095680 is a wasteful number, since it uses less digits than its factorization.

12432374095680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 12432374095680 in words is "twelve trillion, four hundred thirty-two billion, three hundred seventy-four million, ninety-five thousand, six hundred eighty".