5129638848 has 224 divisors, whose sum is σ = 16566489600. Its totient is φ = 1549228032.

The previous prime is 5129638847. The next prime is 5129638849. The reversal of 5129638848 is 8488369215.

5129638848 is a `hidden beast` number, since 512 + 9 + 6 + 3 + 88 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (5129638847) and next prime (5129638849).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5129638794 and 5129638803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5129638847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 751740 + ... + 758532.

Almost surely, 2^5129638848 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 5129638848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8283244800).

5129638848 is an abundant number, since it is smaller than the sum of its proper divisors (11436850752).

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

5129638848 is a wasteful number, since it uses less digits than its factorization.

5129638848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6856 (or 6840 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The square root of 5129638848 is about 71621.4971080611. The cubic root of 5129638848 is about 1724.6286504982.

The spelling of 5129638848 in words is "five billion, one hundred twenty-nine million, six hundred thirty-eight thousand, eight hundred forty-eight".