257295046944 has 384 divisors, whose sum is σ = 793017630720. Its totient is φ = 72335462400.

The previous prime is 257295046907. The next prime is 257295046951. The reversal of 257295046944 is 449640592752.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 397673629 + ... + 397674275.

It is an arithmetic number, because the mean of its divisors is an integer number (2065150080).

Almost surely, 2^257295046944 is an apocalyptic number.

257295046944 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 257295046944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396508815360).

257295046944 is an abundant number, since it is smaller than the sum of its proper divisors (535722583776).

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

257295046944 is a wasteful number, since it uses less digits than its factorization.

257295046944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 57.

The spelling of 257295046944 in words is "two hundred fifty-seven billion, two hundred ninety-five million, forty-six thousand, nine hundred forty-four".