257278577664 has 176 divisors, whose sum is σ = 705395806976. Its totient is φ = 83308953600.

The previous prime is 257278577659. The next prime is 257278577753. The reversal of 257278577664 is 466775872752.

It is a junction number, because it is equal to n+sod(n) for n = 257278577595 and 257278577604.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92180109 + ... + 92182899.

Almost surely, 2^257278577664 is an apocalyptic number.

257278577664 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 257278577664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352697903488).

257278577664 is an abundant number, since it is smaller than the sum of its proper divisors (448117229312).

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

257278577664 is a wasteful number, since it uses less digits than its factorization.

257278577664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3662 (or 3644 counting only the distinct ones).

The product of its digits is 276595200, while the sum is 66.

The spelling of 257278577664 in words is "two hundred fifty-seven billion, two hundred seventy-eight million, five hundred seventy-seven thousand, six hundred sixty-four".