5250938664960 has 288 divisors, whose sum is σ = 18470455632720. Its totient is φ = 1379349430272.

The previous prime is 5250938664931. The next prime is 5250938664971. The reversal of 5250938664960 is 694668390525.

5250938664960 is a `hidden beast` number, since 5 + 2 + 50 + 9 + 38 + 66 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5749524 + ... + 6599916.

Almost surely, 2^{5250938664960} 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 5250938664960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9235227816360).

5250938664960 is an abundant number, since it is smaller than the sum of its proper divisors (13219516967760).

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

5250938664960 is a wasteful number, since it uses less digits than its factorization.

5250938664960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850493 (or 850470 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 63.

The spelling of 5250938664960 in words is "five trillion, two hundred fifty billion, nine hundred thirty-eight million, six hundred sixty-four thousand, nine hundred sixty".