5219248320 has 1344 divisors, whose sum is σ = 23964595200. Its totient is φ = 1021870080.

The previous prime is 5219248313. The next prime is 5219248337. The reversal of 5219248320 is 238429125.

It is a happy number.

5219248320 is a `hidden beast` number, since 521 + 92 + 48 + 3 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 179974066 + ... + 179974094.

It is an arithmetic number, because the mean of its divisors is an integer number (17830800).

Almost surely, 2^5219248320 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 5219248320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11982297600).

5219248320 is an abundant number, since it is smaller than the sum of its proper divisors (18745346880).

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

5219248320 is a wasteful number, since it uses less digits than its factorization.

5219248320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5219248320 is about 72244.3653166114. The cubic root of 5219248320 is about 1734.6132256358.

The spelling of 5219248320 in words is "five billion, two hundred nineteen million, two hundred forty-eight thousand, three hundred twenty".