5083182720 has 768 divisors, whose sum is σ = 22325172480. Its totient is φ = 1035141120.

The previous prime is 5083182691. The next prime is 5083182721. The reversal of 5083182720 is 272813805.

5083182720 is a `hidden beast` number, since 508 + 3 + 1 + 82 + 72 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5083182721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32376882 + ... + 32377038.

It is an arithmetic number, because the mean of its divisors is an integer number (29069235).

Almost surely, 2^5083182720 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 5083182720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11162586240).

5083182720 is an abundant number, since it is smaller than the sum of its proper divisors (17241989760).

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

5083182720 is a wasteful number, since it uses less digits than its factorization.

5083182720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 5083182720 is about 71296.4425479981. The cubic root of 5083182720 is about 1719.4065376408.

The spelling of 5083182720 in words is "five billion, eighty-three million, one hundred eighty-two thousand, seven hundred twenty".