5109181920 has 432 divisors, whose sum is σ = 18807804288. Its totient is φ = 1310100480.

The previous prime is 5109181907. The next prime is 5109181943. The reversal of 5109181920 is 291819015.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×5109181920² = 52207479783309772800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 32542482 + ... + 32542638.

It is an arithmetic number, because the mean of its divisors is an integer number (43536584).

Almost surely, 2^5109181920 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 5109181920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9403902144).

5109181920 is an abundant number, since it is smaller than the sum of its proper divisors (13698622368).

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

5109181920 is an equidigital number, since it uses as much as digits as its factorization.

5109181920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 36.

The square root of 5109181920 is about 71478.5416751069. The cubic root of 5109181920 is about 1722.3329977970.

The spelling of 5109181920 in words is "five billion, one hundred nine million, one hundred eighty-one thousand, nine hundred twenty".