5088512000 has 384 divisors, whose sum is σ = 15025046400. Its totient is φ = 1695744000.

The previous prime is 5088511997. The next prime is 5088512003. The reversal of 5088512000 is 2158805.

It is an interprime number because it is at equal distance from previous prime (5088511997) and next prime (5088512003).

It is not an unprimeable number, because it can be changed into a prime (5088512003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 36607931 + ... + 36608069.

It is an arithmetic number, because the mean of its divisors is an integer number (39127725).

Almost surely, 2^5088512000 is an apocalyptic number.

5088512000 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 5088512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7512523200).

5088512000 is an abundant number, since it is smaller than the sum of its proper divisors (9936534400).

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

5088512000 is a wasteful number, since it uses less digits than its factorization.

5088512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 29.

The square root of 5088512000 is about 71333.8068520109. The cubic root of 5088512000 is about 1720.0072110749.

The spelling of 5088512000 in words is "five billion, eighty-eight million, five hundred twelve thousand".