257936566272 has 384 divisors, whose sum is σ = 871971609600. Its totient is φ = 65853849600.

The previous prime is 257936566253. The next prime is 257936566273. The reversal of 257936566272 is 272665639752.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (257936566273) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27907572 + ... + 27916812.

It is an arithmetic number, because the mean of its divisors is an integer number (2270759400).

Almost surely, 2^257936566272 is an apocalyptic number.

257936566272 is a gapful number since it is divisible by the number (22) 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 257936566272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435985804800).

257936566272 is an abundant number, since it is smaller than the sum of its proper divisors (614035043328).

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

257936566272 is a wasteful number, since it uses less digits than its factorization.

257936566272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9343 (or 9323 counting only the distinct ones).

The product of its digits is 57153600, while the sum is 60.

The spelling of 257936566272 in words is "two hundred fifty-seven billion, nine hundred thirty-six million, five hundred sixty-six thousand, two hundred seventy-two".