5506124416 has 64 divisors (see below), whose sum is σ = 11857897800. Its totient is φ = 2531635200.

The previous prime is 5506124413. The next prime is 5506124419. The reversal of 5506124416 is 6144216055.

It is an interprime number because it is at equal distance from previous prime (5506124413) and next prime (5506124419).

It can be written as a sum of positive squares in 4 ways, for example, as 1989160000 + 3516964416 = 44600^2 + 59304^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (5506124413) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 441466 + ... + 453766.

Almost surely, 2^5506124416 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 5506124416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5928948900).

5506124416 is an abundant number, since it is smaller than the sum of its proper divisors (6351773384).

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

5506124416 is a wasteful number, since it uses less digits than its factorization.

5506124416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12597 (or 12585 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 5506124416 is about 74203.2641869615. The cubic root of 5506124416 is about 1765.8291161921.

The spelling of 5506124416 in words is "five billion, five hundred six million, one hundred twenty-four thousand, four hundred sixteen".