11680428032 has 104 divisors (see below), whose sum is σ = 28749230496. Its totient is φ = 4620681216.

The previous prime is 11680428029. The next prime is 11680428037. The reversal of 11680428032 is 23082408611.

It is a tau number, because it is divible by the number of its divisors (104).

It is a junction number, because it is equal to n+sod(n) for n = 11680427983 and 11680428001.

It is not an unprimeable number, because it can be changed into a prime (11680428037) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 357068 + ... + 388404.

Almost surely, 2^11680428032 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 11680428032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14374615248).

11680428032 is an abundant number, since it is smaller than the sum of its proper divisors (17068802464).

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

11680428032 is an equidigital number, since it uses as much as digits as its factorization.

11680428032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31381 (or 31359 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The spelling of 11680428032 in words is "eleven billion, six hundred eighty million, four hundred twenty-eight thousand, thirty-two".