12671624790096 has 160 divisors (see below), whose sum is σ = 33462151618560. Its totient is φ = 4130892172800.

The previous prime is 12671624790067. The next prime is 12671624790113. The reversal of 12671624790096 is 69009742617621.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 547808451 + ... + 547831581.

It is an arithmetic number, because the mean of its divisors is an integer number (209138447616).

Almost surely, 2^{12671624790096} is an apocalyptic number.

12671624790096 is a gapful number since it is divisible by the number (16) 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 12671624790096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16731075809280).

12671624790096 is an abundant number, since it is smaller than the sum of its proper divisors (20790526828464).

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

12671624790096 is a wasteful number, since it uses less digits than its factorization.

12671624790096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24265 (or 24259 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 60.

The spelling of 12671624790096 in words is "twelve trillion, six hundred seventy-one billion, six hundred twenty-four million, seven hundred ninety thousand, ninety-six".