11177921472 has 168 divisors, whose sum is σ = 31628638800. Its totient is φ = 3479777280.

The previous prime is 11177921453. The next prime is 11177921473. The reversal of 11177921472 is 27412977111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11177921473) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5349804 + ... + 5351892.

Almost surely, 2^11177921472 is an apocalyptic number.

11177921472 is a gapful number since it is divisible by the number (12) 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 11177921472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15814319400).

11177921472 is an abundant number, since it is smaller than the sum of its proper divisors (20450717328).

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

11177921472 is a wasteful number, since it uses less digits than its factorization.

11177921472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2195 (or 2154 counting only the distinct ones).

The product of its digits is 49392, while the sum is 42.

The spelling of 11177921472 in words is "eleven billion, one hundred seventy-seven million, nine hundred twenty-one thousand, four hundred seventy-two".