20110144000 has 160 divisors (see below), whose sum is σ = 50429808000. Its totient is φ = 7998566400.

The previous prime is 20110143983. The next prime is 20110144003. The reversal of 20110144000 is 44101102.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (20110144003) 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 15 ways as a sum of consecutive naturals, for example, 12735211 + ... + 12736789.

It is an arithmetic number, because the mean of its divisors is an integer number (315186300).

Almost surely, 2^20110144000 is an apocalyptic number.

20110144000 is a gapful number since it is divisible by the number (20) 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 20110144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25214904000).

20110144000 is an abundant number, since it is smaller than the sum of its proper divisors (30319664000).

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

20110144000 is an equidigital number, since it uses as much as digits as its factorization.

20110144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811 (or 1785 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20110144000 its reverse (44101102), we get a palindrome (20154245102).

The spelling of 20110144000 in words is "twenty billion, one hundred ten million, one hundred forty-four thousand".