5109538140 has 288 divisors, whose sum is σ = 19001848320. Its totient is φ = 1085280768.

The previous prime is 5109538111. The next prime is 5109538157. The reversal of 5109538140 is 418359015.

5109538140 is a `hidden beast` number, since 5 + 109 + 538 + 14 + 0 = 666.

It is a super-2 number, since 2×5109538140² = 52214760008229319200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 5109538095 and 5109538104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1266807 + ... + 1270833.

It is an arithmetic number, because the mean of its divisors is an integer number (65978640).

Almost surely, 2^5109538140 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 5109538140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9500924160).

5109538140 is an abundant number, since it is smaller than the sum of its proper divisors (13892310180).

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

5109538140 is a wasteful number, since it uses less digits than its factorization.

5109538140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4121 (or 4116 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 5109538140 is about 71481.0334284557. The cubic root of 5109538140 is about 1722.3730247662.

The spelling of 5109538140 in words is "five billion, one hundred nine million, five hundred thirty-eight thousand, one hundred forty".