12600967680 has 960 divisors, whose sum is σ = 53927976960. Its totient is φ = 2656862208.

The previous prime is 12600967679. The next prime is 12600967733. The reversal of 12600967680 is 8676900621.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 159505881 + ... + 159505959.

It is an arithmetic number, because the mean of its divisors is an integer number (56174976).

Almost surely, 2^12600967680 is an apocalyptic number.

12600967680 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 12600967680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26963988480).

12600967680 is an abundant number, since it is smaller than the sum of its proper divisors (41327009280).

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

12600967680 is a wasteful number, since it uses less digits than its factorization.

12600967680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 12600967680 in words is "twelve billion, six hundred million, nine hundred sixty-seven thousand, six hundred eighty".