5087819520 has 288 divisors, whose sum is σ = 20634915840. Its totient is φ = 1162874880.

The previous prime is 5087819509. The next prime is 5087819521. The reversal of 5087819520 is 259187805.

It is a happy number.

5087819520 is a `hidden beast` number, since 50 + 8 + 78 + 1 + 9 + 520 = 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 not an unprimeable number, because it can be changed into a prime (5087819521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231405 + ... + 252435.

Almost surely, 2^5087819520 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 5087819520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10317457920).

5087819520 is an abundant number, since it is smaller than the sum of its proper divisors (15547096320).

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

5087819520 is a wasteful number, since it uses less digits than its factorization.

5087819520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21068 (or 21048 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The square root of 5087819520 is about 71328.9528873094. The cubic root of 5087819520 is about 1719.9291840323.

The spelling of 5087819520 in words is "five billion, eighty-seven million, eight hundred nineteen thousand, five hundred twenty".