5251516640128 has 96 divisors (see below), whose sum is σ = 11503420747560. Its totient is φ = 2386251648000.

The previous prime is 5251516640119. The next prime is 5251516640203. The reversal of 5251516640128 is 8210466151525.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47353383 + ... + 47464153.

Almost surely, 2^{5251516640128} 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 5251516640128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5751710373780).

5251516640128 is an abundant number, since it is smaller than the sum of its proper divisors (6251904107432).

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

5251516640128 is a wasteful number, since it uses less digits than its factorization.

5251516640128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113868 (or 113845 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 46.

The spelling of 5251516640128 in words is "five trillion, two hundred fifty-one billion, five hundred sixteen million, six hundred forty thousand, one hundred twenty-eight".