257340616260 has 288 divisors, whose sum is σ = 898157675520. Its totient is φ = 53903356416.

The previous prime is 257340616243. The next prime is 257340616261. The reversal of 257340616260 is 62616043752.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (257340616261) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9853179 + ... + 9879261.

It is an arithmetic number, because the mean of its divisors is an integer number (3118603040).

Almost surely, 2^257340616260 is an apocalyptic number.

257340616260 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 257340616260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449078837760).

257340616260 is an abundant number, since it is smaller than the sum of its proper divisors (640817059260).

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

257340616260 is a wasteful number, since it uses less digits than its factorization.

257340616260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26267 (or 26252 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 257340616260 in words is "two hundred fifty-seven billion, three hundred forty million, six hundred sixteen thousand, two hundred sixty".