5382881280 has 540 divisors, whose sum is σ = 21852312300. Its totient is φ = 1222115328.

The previous prime is 5382881269. The next prime is 5382881281. The reversal of 5382881280 is 821882835.

5382881280 is a `hidden beast` number, since 538 + 28 + 8 + 12 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1221083136 + 4161798144 = 34944^2 + 64512^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5382881281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36126646 + ... + 36126794.

It is an arithmetic number, because the mean of its divisors is an integer number (40467245).

Almost surely, 2^5382881280 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 5382881280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10926156150).

5382881280 is an abundant number, since it is smaller than the sum of its proper divisors (16469431020).

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

5382881280 is a wasteful number, since it uses less digits than its factorization.

5382881280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 5382881280 is about 73368.1216878284. The cubic root of 5382881280 is about 1752.5547752081.

The spelling of 5382881280 in words is "five billion, three hundred eighty-two million, eight hundred eighty-one thousand, two hundred eighty".