257982812160 has 208 divisors, whose sum is σ = 853913715840. Its totient is φ = 66422702080.

The previous prime is 257982812123. The next prime is 257982812167. The reversal of 257982812160 is 61218289752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257982812167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1709365 + ... + 1854155.

Almost surely, 2^257982812160 is an apocalyptic number.

257982812160 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 257982812160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426956857920).

257982812160 is an abundant number, since it is smaller than the sum of its proper divisors (595930903680).

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

257982812160 is a wasteful number, since it uses less digits than its factorization.

257982812160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144852 (or 144830 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The spelling of 257982812160 in words is "two hundred fifty-seven billion, nine hundred eighty-two million, eight hundred twelve thousand, one hundred sixty".