5510144640 has 1024 divisors, whose sum is σ = 24478433280. Its totient is φ = 1017446400.

The previous prime is 5510144639. The next prime is 5510144719. The reversal of 5510144640 is 464410155.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5510144598 and 5510144607.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 90330210 + ... + 90330270.

It is an arithmetic number, because the mean of its divisors is an integer number (23904720).

Almost surely, 2^5510144640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5510144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12239216640).

5510144640 is an abundant number, since it is smaller than the sum of its proper divisors (18968288640).

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

5510144640 is a wasteful number, since it uses less digits than its factorization.

5510144640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 5510144640 is about 74230.3485105654. The cubic root of 5510144640 is about 1766.2587772388.

Adding to 5510144640 its reverse (464410155), we get a palindrome (5974554795).

The spelling of 5510144640 in words is "five billion, five hundred ten million, one hundred forty-four thousand, six hundred forty".