11916322880 has 224 divisors, whose sum is σ = 35481646080. Its totient is φ = 3703265280.

The previous prime is 11916322879. The next prime is 11916322889. The reversal of 11916322880 is 8822361911.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×11916322880² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11916322889) 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 31 ways as a sum of consecutive naturals, for example, 13871891 + ... + 13872749.

Almost surely, 2^11916322880 is an apocalyptic number.

11916322880 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 11916322880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17740823040).

11916322880 is an abundant number, since it is smaller than the sum of its proper divisors (23565323200).

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

11916322880 is a wasteful number, since it uses less digits than its factorization.

11916322880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 41.

The spelling of 11916322880 in words is "eleven billion, nine hundred sixteen million, three hundred twenty-two thousand, eight hundred eighty".