257786081280 has 1664 divisors, whose sum is σ = 1162519142400. Its totient is φ = 52744421376.

The previous prime is 257786081269. The next prime is 257786081281. The reversal of 257786081280 is 82180687752.

257786081280 is a `hidden beast` number, since 2 + 5 + 7 + 7 + 8 + 608 + 1 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257786081281) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2365009866 + ... + 2365009974.

Almost surely, 2^257786081280 is an apocalyptic number.

257786081280 is a gapful number since it is divisible by the number (20) 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 257786081280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581259571200).

257786081280 is an abundant number, since it is smaller than the sum of its proper divisors (904733061120).

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

257786081280 is a wasteful number, since it uses less digits than its factorization.

257786081280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 257786081280 in words is "two hundred fifty-seven billion, seven hundred eighty-six million, eighty-one thousand, two hundred eighty".