5109918240 has 384 divisors, whose sum is σ = 18947561472. Its totient is φ = 1133568000.

The previous prime is 5109918239. The next prime is 5109918241. The reversal of 5109918240 is 428199015.

It is an interprime number because it is at equal distance from previous prime (5109918239) and next prime (5109918241).

It is a super-2 number, since 2×5109918240² = 52222528838969395200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5109918241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20358115 + ... + 20358365.

It is an arithmetic number, because the mean of its divisors is an integer number (49342608).

Almost surely, 2^5109918240 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 5109918240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9473780736).

5109918240 is an abundant number, since it is smaller than the sum of its proper divisors (13837643232).

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

5109918240 is a wasteful number, since it uses less digits than its factorization.

5109918240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 39.

The square root of 5109918240 is about 71483.6921262465. The cubic root of 5109918240 is about 1722.4157329807.

The spelling of 5109918240 in words is "five billion, one hundred nine million, nine hundred eighteen thousand, two hundred forty".