4520088000 has 336 divisors, whose sum is σ = 16427951904. Its totient is φ = 1186099200.

The previous prime is 4520087951. The next prime is 4520088029. The reversal of 4520088000 is 8800254.

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 47 ways as a sum of consecutive naturals, for example, 4823532 + ... + 4824468.

It is an arithmetic number, because the mean of its divisors is an integer number (48892714).

Almost surely, 2^4520088000 is an apocalyptic number.

4520088000 is a gapful number since it is divisible by the number (40) 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 4520088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8213975952).

4520088000 is an abundant number, since it is smaller than the sum of its proper divisors (11907863904).

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

4520088000 is a wasteful number, since it uses less digits than its factorization.

4520088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 4520088000 is about 67231.5997132301. The cubic root of 4520088000 is about 1653.4166118880.

Adding to 4520088000 its reverse (8800254), we get a palindrome (4528888254).

The spelling of 4520088000 in words is "four billion, five hundred twenty million, eighty-eight thousand".