5006007160 has 192 divisors, whose sum is σ = 14264409600. Its totient is φ = 1547631360.

The previous prime is 5006007143. The next prime is 5006007179. The reversal of 5006007160 is 617006005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4708789 + ... + 4709851.

It is an arithmetic number, because the mean of its divisors is an integer number (74293800).

Almost surely, 2^5006007160 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 5006007160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7132204800).

5006007160 is an abundant number, since it is smaller than the sum of its proper divisors (9258402440).

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

5006007160 is a wasteful number, since it uses less digits than its factorization.

5006007160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 5006007160 is about 70753.1424037124. The cubic root of 5006007160 is about 1710.6604792173.

The spelling of 5006007160 in words is "five billion, six million, seven thousand, one hundred sixty".