5505878240 has 144 divisors (see below), whose sum is σ = 13704290208. Its totient is φ = 2088834048.

The previous prime is 5505878237. The next prime is 5505878243. The reversal of 5505878240 is 428785055.

It is an interprime number because it is at equal distance from previous prime (5505878237) and next prime (5505878243).

It is a junction number, because it is equal to n+sod(n) for n = 5505878191 and 5505878200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5505878243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10945829 + ... + 10946331.

It is an arithmetic number, because the mean of its divisors is an integer number (95168682).

Almost surely, 2^5505878240 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 5505878240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6852145104).

5505878240 is an abundant number, since it is smaller than the sum of its proper divisors (8198411968).

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

5505878240 is a wasteful number, since it uses less digits than its factorization.

5505878240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 44.

The square root of 5505878240 is about 74201.6053734688. The cubic root of 5505878240 is about 1765.8027993617.

The spelling of 5505878240 in words is "five billion, five hundred five million, eight hundred seventy-eight thousand, two hundred forty".