5115882240 has 1080 divisors, whose sum is σ = 22837898160. Its totient is φ = 1086898176.

The previous prime is 5115882227. The next prime is 5115882263. The reversal of 5115882240 is 422885115.

5115882240 is a `hidden beast` number, since 5 + 11 + 588 + 22 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is a junction number, because it is equal to n+sod(n) for n = 5115882195 and 5115882204.

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, 96526054 + ... + 96526106.

It is an arithmetic number, because the mean of its divisors is an integer number (21146202).

Almost surely, 2^5115882240 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 5115882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11418949080).

5115882240 is an abundant number, since it is smaller than the sum of its proper divisors (17722015920).

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

5115882240 is a wasteful number, since it uses less digits than its factorization.

5115882240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 5115882240 is about 71525.3957696146. The cubic root of 5115882240 is about 1723.0855736745.

The spelling of 5115882240 in words is "five billion, one hundred fifteen million, eight hundred eighty-two thousand, two hundred forty".