5514032000 has 128 divisors (see below), whose sum is σ = 14152769280. Its totient is φ = 2134272000.

The previous prime is 5514031997. The next prime is 5514032021. The reversal of 5514032000 is 2304155.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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, 490442 + ... + 501558.

It is an arithmetic number, because the mean of its divisors is an integer number (110568510).

Almost surely, 2^5514032000 is an apocalyptic number.

5514032000 is a gapful number since it is divisible by the number (50) 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 5514032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7076384640).

5514032000 is an abundant number, since it is smaller than the sum of its proper divisors (8638737280).

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

5514032000 is a wasteful number, since it uses less digits than its factorization.

5514032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11177 (or 11155 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 5514032000 is about 74256.5283325311. The cubic root of 5514032000 is about 1766.6740397620.

Adding to 5514032000 its reverse (2304155), we get a palindrome (5516336155).

The spelling of 5514032000 in words is "five billion, five hundred fourteen million, thirty-two thousand".