5029219584 has 288 divisors, whose sum is σ = 15434979840. Its totient is φ = 1614348288.

The previous prime is 5029219567. The next prime is 5029219597. The reversal of 5029219584 is 4859129205.

It is a happy number.

5029219584 is a `hidden beast` number, since 50 + 2 + 9 + 2 + 19 + 584 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36709564 + ... + 36709700.

It is an arithmetic number, because the mean of its divisors is an integer number (53593680).

Almost surely, 2^5029219584 is an apocalyptic number.

5029219584 is a gapful number since it is divisible by the number (54) 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 5029219584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7717489920).

5029219584 is an abundant number, since it is smaller than the sum of its proper divisors (10405760256).

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

5029219584 is a wasteful number, since it uses less digits than its factorization.

5029219584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 5029219584 is about 70916.9907991026. The cubic root of 5029219584 is about 1713.3004647142.

The spelling of 5029219584 in words is "five billion, twenty-nine million, two hundred nineteen thousand, five hundred eighty-four".