5005892480 has 64 divisors (see below), whose sum is σ = 11992531680. Its totient is φ = 1998120960.

The previous prime is 5005892473. The next prime is 5005892491. The reversal of 5005892480 is 842985005.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 303650 + ... + 319710.

Almost surely, 2^5005892480 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 5005892480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5996265840).

5005892480 is an abundant number, since it is smaller than the sum of its proper divisors (6986639200).

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

5005892480 is a wasteful number, since it uses less digits than its factorization.

5005892480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16567 (or 16555 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 41.

The square root of 5005892480 is about 70752.3319757024. The cubic root of 5005892480 is about 1710.6474162421.

The spelling of 5005892480 in words is "five billion, five million, eight hundred ninety-two thousand, four hundred eighty".