5506115940 has 240 divisors, whose sum is σ = 18956388528. Its totient is φ = 1329509376.

The previous prime is 5506115939. The next prime is 5506115947. The reversal of 5506115940 is 495116055.

5506115940 is a `hidden beast` number, since 5 + 5 + 0 + 61 + 1 + 594 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 332478756 + 5173637184 = 18234^2 + 71928^2 .

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 = 5506115895 and 5506115904.

It is not an unprimeable number, because it can be changed into a prime (5506115947) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1113714 + ... + 1118646.

Almost surely, 2^5506115940 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 5506115940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9478194264).

5506115940 is an abundant number, since it is smaller than the sum of its proper divisors (13450272588).

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

5506115940 is a wasteful number, since it uses less digits than its factorization.

5506115940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5020 (or 5009 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The square root of 5506115940 is about 74203.2070735491. The cubic root of 5506115940 is about 1765.8282100996.

It can be divided in two parts, 5506115 and 940, that added together give a palindrome (5507055).

The spelling of 5506115940 in words is "five billion, five hundred six million, one hundred fifteen thousand, nine hundred forty".