11680483584 has 576 divisors, whose sum is σ = 41207040000. Its totient is φ = 2908200960.

The previous prime is 11680483519. The next prime is 11680483597. The reversal of 11680483584 is 48538408611.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84032187 + ... + 84032325.

It is an arithmetic number, because the mean of its divisors is an integer number (71540000).

Almost surely, 2^11680483584 is an apocalyptic number.

11680483584 is a gapful number since it is divisible by the number (14) 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 11680483584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20603520000).

11680483584 is an abundant number, since it is smaller than the sum of its proper divisors (29526556416).

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

11680483584 is a wasteful number, since it uses less digits than its factorization.

11680483584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The spelling of 11680483584 in words is "eleven billion, six hundred eighty million, four hundred eighty-three thousand, five hundred eighty-four".