11802428160 has 144 divisors (see below), whose sum is σ = 39911520096. Its totient is φ = 2962161664.

The previous prime is 11802428153. The next prime is 11802428167. The reversal of 11802428160 is 6182420811.

11802428160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11802428153) and next prime (11802428167).

It is not an unprimeable number, because it can be changed into a prime (11802428167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25119 + ... + 155678.

It is an arithmetic number, because the mean of its divisors is an integer number (277163334).

Almost surely, 2^11802428160 is an apocalyptic number.

11802428160 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 11802428160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19955760048).

11802428160 is an abundant number, since it is smaller than the sum of its proper divisors (28109091936).

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

11802428160 is a wasteful number, since it uses less digits than its factorization.

11802428160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180838 (or 180824 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

Adding to 11802428160 its reverse (6182420811), we get a palindrome (17984848971).

The spelling of 11802428160 in words is "eleven billion, eight hundred two million, four hundred twenty-eight thousand, one hundred sixty".