257305421410700 has 144 divisors (see below), whose sum is σ = 633774125234880. Its totient is φ = 89998304148480.

The previous prime is 257305421410673. The next prime is 257305421410757. The reversal of 257305421410700 is 7014124503752.

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 47 ways as a sum of consecutive naturals, for example, 62389424 + ... + 66385623.

It is an arithmetic number, because the mean of its divisors is an integer number (4401209203020).

Almost surely, 2^{257305421410700} is an apocalyptic number.

257305421410700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257305421410700 is an abundant number, since it is smaller than the sum of its proper divisors (376468703824180).

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

257305421410700 is a wasteful number, since it uses less digits than its factorization.

257305421410700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128775156 (or 128775149 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 41.

The spelling of 257305421410700 in words is "two hundred fifty-seven trillion, three hundred five billion, four hundred twenty-one million, four hundred ten thousand, seven hundred".