5838048216 has 768 divisors, whose sum is σ = 22936780800. Its totient is φ = 1334361600.

The previous prime is 5838048211. The next prime is 5838048253. The reversal of 5838048216 is 6128408385.

5838048216 is a `hidden beast` number, since 5 + 83 + 80 + 482 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5838048211) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 87135015 + ... + 87135081.

It is an arithmetic number, because the mean of its divisors is an integer number (29865600).

Almost surely, 2^5838048216 is an apocalyptic number.

5838048216 is a gapful number since it is divisible by the number (56) 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 5838048216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11468390400).

5838048216 is an abundant number, since it is smaller than the sum of its proper divisors (17098732584).

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

5838048216 is a wasteful number, since it uses less digits than its factorization.

5838048216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 5838048216 is about 76407.1215005512. The cubic root of 5838048216 is about 1800.6220294638.

The spelling of 5838048216 in words is "five billion, eight hundred thirty-eight million, forty-eight thousand, two hundred sixteen".