5109603840 has 240 divisors, whose sum is σ = 19305679536. Its totient is φ = 1238630400.

The previous prime is 5109603761. The next prime is 5109603841. The reversal of 5109603840 is 483069015.

5109603840 is a `hidden beast` number, since 5 + 1 + 0 + 9 + 603 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×5109603840² = 52216102803485491200, 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 = 5109603795 and 5109603804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5109603841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243360 + ... + 263520.

Almost surely, 2^5109603840 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 5109603840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9652839768).

5109603840 is an abundant number, since it is smaller than the sum of its proper divisors (14196075696).

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

5109603840 is a wasteful number, since it uses less digits than its factorization.

5109603840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20201 (or 20182 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 5109603840 is about 71481.4929894445. The cubic root of 5109603840 is about 1722.3804070004.

The spelling of 5109603840 in words is "five billion, one hundred nine million, six hundred three thousand, eight hundred forty".