5019528960 has 288 divisors, whose sum is σ = 18111965760. Its totient is φ = 1316044800.

The previous prime is 5019528949. The next prime is 5019528977. The reversal of 5019528960 is 698259105.

5019528960 is a `hidden beast` number, since 50 + 19 + 528 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2106970 + ... + 2109350.

It is an arithmetic number, because the mean of its divisors is an integer number (62888770).

Almost surely, 2^5019528960 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 5019528960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9055982880).

5019528960 is an abundant number, since it is smaller than the sum of its proper divisors (13092436800).

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

5019528960 is a wasteful number, since it uses less digits than its factorization.

5019528960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2472 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 5019528960 is about 70848.6341435034. The cubic root of 5019528960 is about 1712.1993246246.

The spelling of 5019528960 in words is "five billion, nineteen million, five hundred twenty-eight thousand, nine hundred sixty".