5110008120 has 288 divisors, whose sum is σ = 20036343600. Its totient is φ = 1167892992.

The previous prime is 5110008089. The next prime is 5110008131. The reversal of 5110008120 is 218000115.

It is a super-2 number, since 2×5110008120² = 52224365972931868800, 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 = 5110008093 and 5110008102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 470916 + ... + 481644.

Almost surely, 2^5110008120 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 5110008120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10018171800).

5110008120 is an abundant number, since it is smaller than the sum of its proper divisors (14926335480).

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

5110008120 is a wasteful number, since it uses less digits than its factorization.

5110008120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10769 (or 10746 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 5110008120 is about 71484.3207983401. The cubic root of 5110008120 is about 1722.4258316301.

Adding to 5110008120 its reverse (218000115), we get a palindrome (5328008235).

The spelling of 5110008120 in words is "five billion, one hundred ten million, eight thousand, one hundred twenty".