5014828560 has 480 divisors, whose sum is σ = 18987927552. Its totient is φ = 1090575360.

The previous prime is 5014828549. The next prime is 5014828573. The reversal of 5014828560 is 658284105.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 23766855 + ... + 23767065.

Almost surely, 2^5014828560 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 5014828560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9493963776).

5014828560 is an abundant number, since it is smaller than the sum of its proper divisors (13973098992).

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

5014828560 is a wasteful number, since it uses less digits than its factorization.

5014828560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The square root of 5014828560 is about 70815.4542455247. The cubic root of 5014828560 is about 1711.6647103747.

The spelling of 5014828560 in words is "five billion, fourteen million, eight hundred twenty-eight thousand, five hundred sixty".