257080508080 has 160 divisors (see below), whose sum is σ = 673696880640. Its totient is φ = 90410664960.

The previous prime is 257080508057. The next prime is 257080508107. The reversal of 257080508080 is 80805080752.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5413881 + ... + 5461159.

It is an arithmetic number, because the mean of its divisors is an integer number (4210605504).

Almost surely, 2^257080508080 is an apocalyptic number.

257080508080 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 257080508080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336848440320).

257080508080 is an abundant number, since it is smaller than the sum of its proper divisors (416616372560).

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

257080508080 is a wasteful number, since it uses less digits than its factorization.

257080508080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47507 (or 47501 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 43.

The spelling of 257080508080 in words is "two hundred fifty-seven billion, eighty million, five hundred eight thousand, eighty".