11680495467264 has 360 divisors, whose sum is σ = 37519728467760. Its totient is φ = 3592902500352.

The previous prime is 11680495467209. The next prime is 11680495467287. The reversal of 11680495467264 is 46276459408611.

11680495467264 is a `hidden beast` number, since 1 + 1 + 6 + 80 + 4 + 9 + 546 + 7 + 2 + 6 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1625221879 + ... + 1625229065.

It is an arithmetic number, because the mean of its divisors is an integer number (104221467966).

Almost surely, 2^{11680495467264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11680495467264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18759864233880).

11680495467264 is an abundant number, since it is smaller than the sum of its proper divisors (25839233000496).

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

11680495467264 is an equidigital number, since it uses as much as digits as its factorization.

11680495467264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13257 (or 13234 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 11680495467264 in words is "eleven trillion, six hundred eighty billion, four hundred ninety-five million, four hundred sixty-seven thousand, two hundred sixty-four".