5109104640 has 120 divisors (see below), whose sum is σ = 16349422320. Its totient is φ = 1362362368.

The previous prime is 5109104621. The next prime is 5109104659. The reversal of 5109104640 is 464019015.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5109104621) and next prime (5109104659).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×5109104640² = 52205900444939059200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5109104598 and 5109104607.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 235366 + ... + 256154.

It is an arithmetic number, because the mean of its divisors is an integer number (136245186).

Almost surely, 2^5109104640 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 5109104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8174711160).

5109104640 is an abundant number, since it is smaller than the sum of its proper divisors (11240317680).

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

5109104640 is an equidigital number, since it uses as much as digits as its factorization.

5109104640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20825 (or 20799 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 5109104640 is about 71478.0010912449. The cubic root of 5109104640 is about 1722.3243139171.

The spelling of 5109104640 in words is "five billion, one hundred nine million, one hundred four thousand, six hundred forty".