5082816000 has 320 divisors, whose sum is σ = 17649156096. Its totient is φ = 1295360000.

The previous prime is 5082815999. The next prime is 5082816019. The reversal of 5082816000 is 6182805.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 4415425 + ... + 4416575.

Almost surely, 2^5082816000 is an apocalyptic number.

5082816000 is a gapful number since it is divisible by the number (50) 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 5082816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8824578048).

5082816000 is an abundant number, since it is smaller than the sum of its proper divisors (12566340096).

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

5082816000 is a wasteful number, since it uses less digits than its factorization.

5082816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 5082816000 is about 71293.8707042899. The cubic root of 5082816000 is about 1719.3651884859.

Adding to 5082816000 its reverse (6182805), we get a palindrome (5088998805).

The spelling of 5082816000 in words is "five billion, eighty-two million, eight hundred sixteen thousand".