12546839413680 has 640 divisors, whose sum is σ = 47833738444800. Its totient is φ = 2678828544000.

The previous prime is 12546839413583. The next prime is 12546839413697. The reversal of 12546839413680 is 8631493864521.

It is a happy number.

It is a super-2 number, since 2×12546839413680² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 75455271 + ... + 75621369.

It is an arithmetic number, because the mean of its divisors is an integer number (74740216320).

Almost surely, 2^{12546839413680} is an apocalyptic number.

12546839413680 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 12546839413680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23916869222400).

12546839413680 is an abundant number, since it is smaller than the sum of its proper divisors (35286899031120).

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

12546839413680 is a wasteful number, since it uses less digits than its factorization.

12546839413680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166241 (or 166235 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 60.

The spelling of 12546839413680 in words is "twelve trillion, five hundred forty-six billion, eight hundred thirty-nine million, four hundred thirteen thousand, six hundred eighty".