257523006320 has 80 divisors (see below), whose sum is σ = 609213129888. Its totient is φ = 101215319040.

The previous prime is 257523006317. The next prime is 257523006337. The reversal of 257523006320 is 23600325752.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 2067410 + ... + 2188430.

Almost surely, 2^257523006320 is an apocalyptic number.

257523006320 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 257523006320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304606564944).

257523006320 is an abundant number, since it is smaller than the sum of its proper divisors (351690123568).

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

257523006320 is a wasteful number, since it uses less digits than its factorization.

257523006320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121498 (or 121492 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 35.

The spelling of 257523006320 in words is "two hundred fifty-seven billion, five hundred twenty-three million, six thousand, three hundred twenty".