5065608240 has 960 divisors, whose sum is σ = 23409216000. Its totient is φ = 992839680.

The previous prime is 5065608239. The next prime is 5065608241. The reversal of 5065608240 is 428065605.

5065608240 is a `hidden beast` number, since 5 + 0 + 6 + 5 + 608 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (5065608239) and next prime (5065608241).

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 = 5065608195 and 5065608204.

It is not an unprimeable number, because it can be changed into a prime (5065608241) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22120446 + ... + 22120674.

It is an arithmetic number, because the mean of its divisors is an integer number (24384600).

Almost surely, 2^5065608240 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 5065608240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11704608000).

5065608240 is an abundant number, since it is smaller than the sum of its proper divisors (18343607760).

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

5065608240 is a wasteful number, since it uses less digits than its factorization.

5065608240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5065608240 is about 71173.0864863960. The cubic root of 5065608240 is about 1717.4227039449.

The spelling of 5065608240 in words is "five billion, sixty-five million, six hundred eight thousand, two hundred forty".