257895978897 has 8 divisors (see below), whose sum is σ = 343900697056. Its totient is φ = 171910956672.

The previous prime is 257895978853. The next prime is 257895978929. The reversal of 257895978897 is 798879598752.

257895978897 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 257895978897 - 2³⁰ = 256822237073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257895978817) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4893403 + ... + 4945824.

It is an arithmetic number, because the mean of its divisors is an integer number (42987587132).

Almost surely, 2^257895978897 is an apocalyptic number.

It is an amenable number.

257895978897 is a deficient number, since it is larger than the sum of its proper divisors (86004718159).

257895978897 is an equidigital number, since it uses as much as digits as its factorization.

257895978897 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9847967.

The product of its digits is 6401203200, while the sum is 84.

The spelling of 257895978897 in words is "two hundred fifty-seven billion, eight hundred ninety-five million, nine hundred seventy-eight thousand, eight hundred ninety-seven".