5019120288 has 576 divisors, whose sum is σ = 18769750272. Its totient is φ = 1283973120.

The previous prime is 5019120241. The next prime is 5019120289. The reversal of 5019120288 is 8820219105.

5019120288 is a `hidden beast` number, since 501 + 9 + 120 + 28 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5019120289) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29012170 + ... + 29012342.

It is an arithmetic number, because the mean of its divisors is an integer number (32586372).

Almost surely, 2^5019120288 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 5019120288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9384875136).

5019120288 is an abundant number, since it is smaller than the sum of its proper divisors (13750629984).

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

5019120288 is a wasteful number, since it uses less digits than its factorization.

5019120288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 5019120288 is about 70845.7499642710. The cubic root of 5019120288 is about 1712.1528563259.

The spelling of 5019120288 in words is "five billion, nineteen million, one hundred twenty thousand, two hundred eighty-eight".