257375372320 has 96 divisors (see below), whose sum is σ = 665591774400. Its totient is φ = 93271434240.

The previous prime is 257375372299. The next prime is 257375372341. The reversal of 257375372320 is 23273573752.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (257375372299) and next prime (257375372341).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 266131 + ... + 765229.

It is an arithmetic number, because the mean of its divisors is an integer number (6933247650).

Almost surely, 2^257375372320 is an apocalyptic number.

257375372320 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 257375372320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332795887200).

257375372320 is an abundant number, since it is smaller than the sum of its proper divisors (408216402080).

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

257375372320 is a wasteful number, since it uses less digits than its factorization.

257375372320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499418 (or 499410 counting only the distinct ones).

The product of its (nonzero) digits is 1852200, while the sum is 46.

The spelling of 257375372320 in words is "two hundred fifty-seven billion, three hundred seventy-five million, three hundred seventy-two thousand, three hundred twenty".