5007125760 has 864 divisors, whose sum is σ = 21139211520. Its totient is φ = 999161856.

The previous prime is 5007125729. The next prime is 5007125771. The reversal of 5007125760 is 675217005.

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 95 ways as a sum of consecutive naturals, for example, 56259796 + ... + 56259884.

It is an arithmetic number, because the mean of its divisors is an integer number (24466680).

Almost surely, 2^5007125760 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 5007125760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10569605760).

5007125760 is an abundant number, since it is smaller than the sum of its proper divisors (16132085760).

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

5007125760 is a wasteful number, since it uses less digits than its factorization.

5007125760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 33.

The square root of 5007125760 is about 70761.0469114187. The cubic root of 5007125760 is about 1710.7878862998.

The spelling of 5007125760 in words is "five billion, seven million, one hundred twenty-five thousand, seven hundred sixty".