5821756416 has 440 divisors, whose sum is σ = 20480742656. Its totient is φ = 1612431360.

The previous prime is 5821756387. The next prime is 5821756417. The reversal of 5821756416 is 6146571285.

5821756416 is a `hidden beast` number, since 5 + 82 + 1 + 7 + 564 + 1 + 6 = 666.

Its product of digits (403200) is a multiple of the sum of its prime divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5821756417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21482361 + ... + 21482631.

Almost surely, 2^5821756416 is an apocalyptic number.

5821756416 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 5821756416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10240371328).

5821756416 is an abundant number, since it is smaller than the sum of its proper divisors (14658986240).

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

5821756416 is a wasteful number, since it uses less digits than its factorization.

5821756416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 320 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 5821756416 is about 76300.4352281165. The cubic root of 5821756416 is about 1798.9455157111.

The spelling of 5821756416 in words is "five billion, eight hundred twenty-one million, seven hundred fifty-six thousand, four hundred sixteen".