257390668590 has 128 divisors (see below), whose sum is σ = 690600148992. Its totient is φ = 60869128320.

The previous prime is 257390668553. The next prime is 257390668597. The reversal of 257390668590 is 95866093752.

It is a super-3 number, since 3×257390668590³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257390668597) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2220819 + ... + 2333841.

It is an arithmetic number, because the mean of its divisors is an integer number (5395313664).

Almost surely, 2^257390668590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257390668590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345300074496).

257390668590 is an abundant number, since it is smaller than the sum of its proper divisors (433209480402).

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

257390668590 is a wasteful number, since it uses less digits than its factorization.

257390668590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113214.

The product of its (nonzero) digits is 24494400, while the sum is 60.

The spelling of 257390668590 in words is "two hundred fifty-seven billion, three hundred ninety million, six hundred sixty-eight thousand, five hundred ninety".