11680344079776 has 768 divisors, whose sum is σ = 36736513228800. Its totient is φ = 3604008038400.

The previous prime is 11680344079741. The next prime is 11680344079837. The reversal of 11680344079776 is 67797044308611.

11680344079776 is a `hidden beast` number, since 11 + 68 + 0 + 3 + 4 + 407 + 97 + 76 = 666.

11680344079776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17670716886 + ... + 17670717546.

It is an arithmetic number, because the mean of its divisors is an integer number (47834001600).

Almost surely, 2^{11680344079776} is an apocalyptic number.

11680344079776 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 11680344079776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18368256614400).

11680344079776 is an abundant number, since it is smaller than the sum of its proper divisors (25056169149024).

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

11680344079776 is a wasteful number, since it uses less digits than its factorization.

11680344079776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 11680344079776 in words is "eleven trillion, six hundred eighty billion, three hundred forty-four million, seventy-nine thousand, seven hundred seventy-six".