12408829567680 has 448 divisors, whose sum is σ = 51342240337920. Its totient is φ = 2464118931456.

The previous prime is 12408829567583. The next prime is 12408829567681. The reversal of 12408829567680 is 8676592880421.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (12408829567681) 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 63 ways as a sum of consecutive naturals, for example, 2692600 + ... + 5662839.

It is an arithmetic number, because the mean of its divisors is an integer number (114603215040).

Almost surely, 2^{12408829567680} is an apocalyptic number.

12408829567680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12408829567680 is an abundant number, since it is smaller than the sum of its proper divisors (38933410770240).

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

12408829567680 is a wasteful number, since it uses less digits than its factorization.

12408829567680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8355496 (or 8355486 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 66.

The spelling of 12408829567680 in words is "twelve trillion, four hundred eight billion, eight hundred twenty-nine million, five hundred sixty-seven thousand, six hundred eighty".