257258944954368 has 512 divisors, whose sum is σ = 881625389299200. Its totient is φ = 72616837644288.

The previous prime is 257258944954357. The next prime is 257258944954423. The reversal of 257258944954368 is 863459449852752.

257258944954368 is a `hidden beast` number, since 2 + 5 + 7 + 2 + 5 + 8 + 9 + 4 + 4 + 9 + 543 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 513781380 + ... + 514281852.

It is an arithmetic number, because the mean of its divisors is an integer number (1721924588475).

Almost surely, 2^{257258944954368} is an apocalyptic number.

257258944954368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257258944954368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440812694649600).

257258944954368 is an abundant number, since it is smaller than the sum of its proper divisors (624366444344832).

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

257258944954368 is an frugal number, since it uses more digits than its factorization.

257258944954368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500602 (or 500568 counting only the distinct ones).

The product of its digits is 20901888000, while the sum is 81.

The spelling of 257258944954368 in words is "two hundred fifty-seven trillion, two hundred fifty-eight billion, nine hundred forty-four million, nine hundred fifty-four thousand, three hundred sixty-eight".