257268963744 has 288 divisors, whose sum is σ = 835913594880. Its totient is φ = 74400270336.

The previous prime is 257268963659. The next prime is 257268963797. The reversal of 257268963744 is 447369862752.

257268963744 is a `hidden beast` number, since 257 + 2 + 6 + 8 + 9 + 6 + 374 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9020034 + ... + 9048510.

It is an arithmetic number, because the mean of its divisors is an integer number (2902477760).

Almost surely, 2^257268963744 is an apocalyptic number.

257268963744 is a gapful number since it is divisible by the number (24) 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 257268963744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417956797440).

257268963744 is an abundant number, since it is smaller than the sum of its proper divisors (578644631136).

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

257268963744 is a wasteful number, since it uses less digits than its factorization.

257268963744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28652 (or 28641 counting only the distinct ones).

The product of its digits is 121927680, while the sum is 63.

The spelling of 257268963744 in words is "two hundred fifty-seven billion, two hundred sixty-eight million, nine hundred sixty-three thousand, seven hundred forty-four".