257872870080 has 1680 divisors, whose sum is σ = 1151105826816. Its totient is φ = 53613342720.

The previous prime is 257872870007. The next prime is 257872870097. The reversal of 257872870080 is 80078278752.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 257872869999 and 257872870026.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2030494977 + ... + 2030495103.

Almost surely, 2^257872870080 is an apocalyptic number.

257872870080 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 257872870080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575552913408).

257872870080 is an abundant number, since it is smaller than the sum of its proper divisors (893232956736).

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

257872870080 is a wasteful number, since it uses less digits than its factorization.

257872870080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 3512320, while the sum is 54.

The spelling of 257872870080 in words is "two hundred fifty-seven billion, eight hundred seventy-two million, eight hundred seventy thousand, eighty".