257588720080 has 80 divisors (see below), whose sum is σ = 605294651520. Its totient is φ = 101936208384.

The previous prime is 257588720071. The next prime is 257588720089. The reversal of 257588720080 is 80027885752.

It is an interprime number because it is at equal distance from previous prime (257588720071) and next prime (257588720089).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257588720089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8793939 + ... + 8823181.

It is an arithmetic number, because the mean of its divisors is an integer number (7566183144).

Almost surely, 2^257588720080 is an apocalyptic number.

257588720080 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 257588720080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302647325760).

257588720080 is an abundant number, since it is smaller than the sum of its proper divisors (347705931440).

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

257588720080 is a wasteful number, since it uses less digits than its factorization.

257588720080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30428 (or 30422 counting only the distinct ones).

The product of its (nonzero) digits is 2508800, while the sum is 52.

The spelling of 257588720080 in words is "two hundred fifty-seven billion, five hundred eighty-eight million, seven hundred twenty thousand, eighty".