5107815240 has 512 divisors, whose sum is σ = 18811699200. Its totient is φ = 1094696960.

The previous prime is 5107815227. The next prime is 5107815259. The reversal of 5107815240 is 425187015.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 127 ways as a sum of consecutive naturals, for example, 30585637 + ... + 30585803.

It is an arithmetic number, because the mean of its divisors is an integer number (36741600).

Almost surely, 2^5107815240 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 5107815240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9405849600).

5107815240 is an abundant number, since it is smaller than the sum of its proper divisors (13703883960).

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

5107815240 is a wasteful number, since it uses less digits than its factorization.

5107815240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 33.

The square root of 5107815240 is about 71468.9809637720. The cubic root of 5107815240 is about 1722.1794123494.

The spelling of 5107815240 in words is "five billion, one hundred seven million, eight hundred fifteen thousand, two hundred forty".