12080571776640 has 640 divisors, whose sum is σ = 43555621000320. Its totient is φ = 3190732922880.

The previous prime is 12080571776593. The next prime is 12080571776641. The reversal of 12080571776640 is 4667717508021.

12080571776640 is a `hidden beast` number, since 1 + 2 + 0 + 8 + 0 + 571 + 7 + 7 + 6 + 64 + 0 = 666.

12080571776640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (54).

It is not an unprimeable number, because it can be changed into a prime (12080571776641) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2627922822 + ... + 2627927418.

It is an arithmetic number, because the mean of its divisors is an integer number (68055657813).

Almost surely, 2^{12080571776640} is an apocalyptic number.

12080571776640 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 12080571776640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21777810500160).

12080571776640 is an abundant number, since it is smaller than the sum of its proper divisors (31475049223680).

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

12080571776640 is a wasteful number, since it uses less digits than its factorization.

12080571776640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5102 (or 5081 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 12080571776640 in words is "twelve trillion, eighty billion, five hundred seventy-one million, seven hundred seventy-six thousand, six hundred forty".