5814248520 has 256 divisors, whose sum is σ = 18812102400. Its totient is φ = 1433272320.

The previous prime is 5814248519. The next prime is 5814248597. The reversal of 5814248520 is 258424185.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30125544 + ... + 30125736.

It is an arithmetic number, because the mean of its divisors is an integer number (73484775).

Almost surely, 2^5814248520 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 5814248520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9406051200).

5814248520 is an abundant number, since it is smaller than the sum of its proper divisors (12997853880).

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

5814248520 is a wasteful number, since it uses less digits than its factorization.

5814248520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 39.

The square root of 5814248520 is about 76251.2197935220. The cubic root of 5814248520 is about 1798.1718599580.

The spelling of 5814248520 in words is "five billion, eight hundred fourteen million, two hundred forty-eight thousand, five hundred twenty".