11680362720 has 576 divisors, whose sum is σ = 45966735360. Its totient is φ = 2684731392.

The previous prime is 11680362713. The next prime is 11680362761. The reversal of 11680362720 is 2726308611.

11680362720 is a `hidden beast` number, since 1 + 1 + 6 + 8 + 0 + 3 + 627 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 91971297 + ... + 91971423.

It is an arithmetic number, because the mean of its divisors is an integer number (79803360).

Almost surely, 2^11680362720 is an apocalyptic number.

11680362720 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 11680362720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22983367680).

11680362720 is an abundant number, since it is smaller than the sum of its proper divisors (34286372640).

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

11680362720 is a wasteful number, since it uses less digits than its factorization.

11680362720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 11680362720 in words is "eleven billion, six hundred eighty million, three hundred sixty-two thousand, seven hundred twenty".