257890886667 has 48 divisors (see below), whose sum is σ = 387930422880. Its totient is φ = 171205684992.

The previous prime is 257890886663. The next prime is 257890886699. The reversal of 257890886667 is 766688098752.

257890886667 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 257890886667 - 2² = 257890886663 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 257890886595 and 257890886604.

It is not an unprimeable number, because it can be changed into a prime (257890886663) 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 47 ways as a sum of consecutive naturals, for example, 73325193 + ... + 73328709.

It is an arithmetic number, because the mean of its divisors is an integer number (8081883810).

Almost surely, 2^257890886667 is an apocalyptic number.

257890886667 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

257890886667 is a deficient number, since it is larger than the sum of its proper divisors (130039536213).

257890886667 is an equidigital number, since it uses as much as digits as its factorization.

257890886667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4714 (or 4702 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 257890886667 in words is "two hundred fifty-seven billion, eight hundred ninety million, eight hundred eighty-six thousand, six hundred sixty-seven".