5382599040 has 960 divisors, whose sum is σ = 24228333360. Its totient is φ = 1128701952.

The previous prime is 5382599039. The next prime is 5382599051. The reversal of 5382599040 is 409952835.

5382599040 is a `hidden beast` number, since 53 + 8 + 2 + 599 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 33021999 + ... + 33022161.

Almost surely, 2^5382599040 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 5382599040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12114166680).

5382599040 is an abundant number, since it is smaller than the sum of its proper divisors (18845734320).

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

5382599040 is a wasteful number, since it uses less digits than its factorization.

5382599040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 5382599040 is about 73366.1982114379. The cubic root of 5382599040 is about 1752.5241441712.

The spelling of 5382599040 in words is "five billion, three hundred eighty-two million, five hundred ninety-nine thousand, forty".