5085640440 has 192 divisors, whose sum is σ = 17831923200. Its totient is φ = 1252233216.

The previous prime is 5085640429. The next prime is 5085640447. The reversal of 5085640440 is 440465805.

5085640440 is a `hidden beast` number, since 5 + 0 + 8 + 5 + 640 + 4 + 4 + 0 = 666.

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 = 5085640395 and 5085640404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5085640447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 316521 + ... + 332199.

It is an arithmetic number, because the mean of its divisors is an integer number (92874600).

Almost surely, 2^5085640440 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 5085640440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8915961600).

5085640440 is an abundant number, since it is smaller than the sum of its proper divisors (12746282760).

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

5085640440 is a wasteful number, since it uses less digits than its factorization.

5085640440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15766 (or 15759 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 5085640440 is about 71313.6763881936. The cubic root of 5085640440 is about 1719.6836041422.

The spelling of 5085640440 in words is "five billion, eighty-five million, six hundred forty thousand, four hundred forty".