5054516480 has 144 divisors (see below), whose sum is σ = 13188828240. Its totient is φ = 1844772864.

The previous prime is 5054516473. The next prime is 5054516507. The reversal of 5054516480 is 846154505.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 127599616 + 4926916864 = 11296^2 + 70192^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1479254 + ... + 1482666.

It is an arithmetic number, because the mean of its divisors is an integer number (91589085).

Almost surely, 2^5054516480 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 5054516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6594414120).

5054516480 is an abundant number, since it is smaller than the sum of its proper divisors (8134311760).

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

5054516480 is a wasteful number, since it uses less digits than its factorization.

5054516480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3536 (or 3522 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 38.

The square root of 5054516480 is about 71095.1227581752. The cubic root of 5054516480 is about 1716.1682865731.

The spelling of 5054516480 in words is "five billion, fifty-four million, five hundred sixteen thousand, four hundred eighty".