5127039648 has 144 divisors (see below), whose sum is σ = 15382785600. Its totient is φ = 1615334400.

The previous prime is 5127039647. The next prime is 5127039661. The reversal of 5127039648 is 8469307215.

5127039648 is a `hidden beast` number, since 512 + 7 + 0 + 3 + 96 + 48 = 666.

5127039648 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

5127039648 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (5127039647) 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 23 ways as a sum of consecutive naturals, for example, 3287893 + ... + 3289451.

It is an arithmetic number, because the mean of its divisors is an integer number (106824900).

It is a 1-persistent number, because it is pandigital, but 2⋅5127039648 = 10254079296 is not.

Almost surely, 2^5127039648 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 5127039648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7691392800).

5127039648 is an abundant number, since it is smaller than the sum of its proper divisors (10255745952).

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

5127039648 is a wasteful number, since it uses less digits than its factorization.

5127039648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2195 (or 2184 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5127039648 is about 71603.3494188645. The cubic root of 5127039648 is about 1724.3373101617.

The spelling of 5127039648 in words is "five billion, one hundred twenty-seven million, thirty-nine thousand, six hundred forty-eight".