257130280320 has 256 divisors, whose sum is σ = 828800510400. Its totient is φ = 67802628096.

The previous prime is 257130280289. The next prime is 257130280333. The reversal of 257130280320 is 23082031752.

257130280320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×257130280320² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72860316 + ... + 72863844.

Almost surely, 2^257130280320 is an apocalyptic number.

257130280320 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 257130280320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414400255200).

257130280320 is an abundant number, since it is smaller than the sum of its proper divisors (571670230080).

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

257130280320 is a wasteful number, since it uses less digits than its factorization.

257130280320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3965 (or 3953 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 257130280320 in words is "two hundred fifty-seven billion, one hundred thirty million, two hundred eighty thousand, three hundred twenty".