5256252744768 has 224 divisors, whose sum is σ = 15688657797120. Its totient is φ = 1725315863040.

The previous prime is 5256252744767. The next prime is 5256252744773. The reversal of 5256252744768 is 8674472526525.

5256252744768 is a `hidden beast` number, since 5 + 2 + 5 + 6 + 2 + 527 + 4 + 47 + 68 = 666.

It is a super-2 number, since 2×5256252744768² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5256252744767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 414819073 + ... + 414831743.

It is an arithmetic number, because the mean of its divisors is an integer number (70038650880).

Almost surely, 2^{5256252744768} 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 5256252744768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7844328898560).

5256252744768 is an abundant number, since it is smaller than the sum of its proper divisors (10432405052352).

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

5256252744768 is a wasteful number, since it uses less digits than its factorization.

5256252744768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16342 (or 16326 counting only the distinct ones).

The product of its digits is 225792000, while the sum is 63.

The spelling of 5256252744768 in words is "five trillion, two hundred fifty-six billion, two hundred fifty-two million, seven hundred forty-four thousand, seven hundred sixty-eight".