5005110024 has 96 divisors (see below), whose sum is σ = 13870808640. Its totient is φ = 1629936000.

The previous prime is 5005110013. The next prime is 5005110031. The reversal of 5005110024 is 4200115005.

It is a super-2 number, since 2×5005110024² = 50102252704690561152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 5005109979 and 5005110006.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 659419 + ... + 666965.

It is an arithmetic number, because the mean of its divisors is an integer number (144487590).

Almost surely, 2^5005110024 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 5005110024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6935404320).

5005110024 is an abundant number, since it is smaller than the sum of its proper divisors (8865698616).

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

5005110024 is a wasteful number, since it uses less digits than its factorization.

5005110024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7771 (or 7764 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 5005110024 is about 70746.8022174854. The cubic root of 5005110024 is about 1710.5582828801.

Adding to 5005110024 its reverse (4200115005), we get a palindrome (9205225029).

The spelling of 5005110024 in words is "five billion, five million, one hundred ten thousand, twenty-four".