257775081060 has 288 divisors, whose sum is σ = 879928987392. Its totient is φ = 56112967680.

The previous prime is 257775081043. The next prime is 257775081097. The reversal of 257775081060 is 60180577752.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15747280 + ... + 15763640.

It is an arithmetic number, because the mean of its divisors is an integer number (3055308984).

Almost surely, 2^257775081060 is an apocalyptic number.

257775081060 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 257775081060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439964493696).

257775081060 is an abundant number, since it is smaller than the sum of its proper divisors (622153906332).

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

257775081060 is a wasteful number, since it uses less digits than its factorization.

257775081060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16643 (or 16634 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 48.

The spelling of 257775081060 in words is "two hundred fifty-seven billion, seven hundred seventy-five million, eighty-one thousand, sixty".