11675481680 has 160 divisors (see below), whose sum is σ = 29404010880. Its totient is φ = 4295229440.

The previous prime is 11675481667. The next prime is 11675481691. The reversal of 11675481680 is 8618457611.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18214160 + ... + 18214800.

It is an arithmetic number, because the mean of its divisors is an integer number (183775068).

Almost surely, 2^11675481680 is an apocalyptic number.

11675481680 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 11675481680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14702005440).

11675481680 is an abundant number, since it is smaller than the sum of its proper divisors (17728529200).

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

11675481680 is a wasteful number, since it uses less digits than its factorization.

11675481680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 47.

The spelling of 11675481680 in words is "eleven billion, six hundred seventy-five million, four hundred eighty-one thousand, six hundred eighty".