5016588456 has 128 divisors (see below), whose sum is σ = 14065228800. Its totient is φ = 1477824000.

The previous prime is 5016588391. The next prime is 5016588491. The reversal of 5016588456 is 6548856105.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3885171 + ... + 3886461.

It is an arithmetic number, because the mean of its divisors is an integer number (109884600).

Almost surely, 2^5016588456 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 5016588456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7032614400).

5016588456 is an abundant number, since it is smaller than the sum of its proper divisors (9048640344).

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

5016588456 is a wasteful number, since it uses less digits than its factorization.

5016588456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1711 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 48.

The square root of 5016588456 is about 70827.8790872634. The cubic root of 5016588456 is about 1711.8649165915.

The spelling of 5016588456 in words is "five billion, sixteen million, five hundred eighty-eight thousand, four hundred fifty-six".