12008760706560 has 640 divisors, whose sum is σ = 40569724800000. Its totient is φ = 3024362012672.

The previous prime is 12008760706541. The next prime is 12008760706577. The reversal of 12008760706560 is 6560706780021.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4711164166 + ... + 4711166714.

It is an arithmetic number, because the mean of its divisors is an integer number (63390195000).

Almost surely, 2^{12008760706560} is an apocalyptic number.

12008760706560 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 12008760706560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20284862400000).

12008760706560 is an abundant number, since it is smaller than the sum of its proper divisors (28560964093440).

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

12008760706560 is a wasteful number, since it uses less digits than its factorization.

12008760706560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2926 (or 2910 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 12008760706560 in words is "twelve trillion, eight billion, seven hundred sixty million, seven hundred six thousand, five hundred sixty".