5128126752 has 288 divisors, whose sum is σ = 16626617280. Its totient is φ = 1376040960.

The previous prime is 5128126747. The next prime is 5128126781. The reversal of 5128126752 is 2576218215.

It is a super-3 number, since 3×5128126752³ (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5128126752.

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, 16176898 + ... + 16177214.

It is an arithmetic number, because the mean of its divisors is an integer number (57731310).

Almost surely, 2^5128126752 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 5128126752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8313308640).

5128126752 is an abundant number, since it is smaller than the sum of its proper divisors (11498490528).

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

5128126752 is a wasteful number, since it uses less digits than its factorization.

5128126752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 529 counting only the distinct ones).

The product of its digits is 67200, while the sum is 39.

The square root of 5128126752 is about 71610.9401697813. The cubic root of 5128126752 is about 1724.4591739559.

The spelling of 5128126752 in words is "five billion, one hundred twenty-eight million, one hundred twenty-six thousand, seven hundred fifty-two".