5152958720 has 432 divisors, whose sum is σ = 15835865472. Its totient is φ = 1571880960.

The previous prime is 5152958683. The next prime is 5152958729. The reversal of 5152958720 is 278592515.

It is not an unprimeable number, because it can be changed into a prime (5152958729) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 62083799 + ... + 62083881.

It is an arithmetic number, because the mean of its divisors is an integer number (36657096).

Almost surely, 2^5152958720 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 5152958720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7917932736).

5152958720 is an abundant number, since it is smaller than the sum of its proper divisors (10682906752).

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

5152958720 is a wasteful number, since it uses less digits than its factorization.

5152958720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 44.

The square root of 5152958720 is about 71784.1118911420. Note that the first 3 decimals coincide. The cubic root of 5152958720 is about 1727.2381472402.

The spelling of 5152958720 in words is "five billion, one hundred fifty-two million, nine hundred fifty-eight thousand, seven hundred twenty".