5257956712320 has 768 divisors, whose sum is σ = 19888727040000. Its totient is φ = 1272194187264.

The previous prime is 5257956712291. The next prime is 5257956712357. The reversal of 5257956712320 is 232176597525.

5257956712320 is a `hidden beast` number, since 5 + 2 + 5 + 79 + 567 + 1 + 2 + 3 + 2 + 0 = 666.

It is a super-2 number, since 2×5257956712320² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1413807421 + ... + 1413811139.

It is an arithmetic number, because the mean of its divisors is an integer number (25896780000).

Almost surely, 2^{5257956712320} 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 5257956712320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9944363520000).

5257956712320 is an abundant number, since it is smaller than the sum of its proper divisors (14630770327680).

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

5257956712320 is a wasteful number, since it uses less digits than its factorization.

5257956712320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4075 (or 4060 counting only the distinct ones).

The product of its (nonzero) digits is 7938000, while the sum is 54.

The spelling of 5257956712320 in words is "five trillion, two hundred fifty-seven billion, nine hundred fifty-six million, seven hundred twelve thousand, three hundred twenty".