257389968930048 has 504 divisors, whose sum is σ = 784458779324640. Its totient is φ = 84224769822720.

The previous prime is 257389968930023. The next prime is 257389968930121. The reversal of 257389968930048 is 840039869983752.

257389968930048 is a `hidden beast` number, since 2 + 5 + 7 + 389 + 96 + 89 + 30 + 0 + 48 = 666.

It is a super-2 number, since 2×257389968930048² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

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 55 ways as a sum of consecutive naturals, for example, 8070912183 + ... + 8070944073.

Almost surely, 2^{257389968930048} 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 257389968930048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392229389662320).

257389968930048 is an abundant number, since it is smaller than the sum of its proper divisors (527068810394592).

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

257389968930048 is an frugal number, since it uses more digits than its factorization.

257389968930048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32717 (or 32688 counting only the distinct ones).

The product of its (nonzero) digits is 5643509760, while the sum is 81.

The spelling of 257389968930048 in words is "two hundred fifty-seven trillion, three hundred eighty-nine billion, nine hundred sixty-eight million, nine hundred thirty thousand, forty-eight".