257870745600 has 468 divisors, whose sum is σ = 923403014496. Its totient is φ = 63463096320.

The previous prime is 257870745571. The next prime is 257870745631. The reversal of 257870745600 is 6547078752.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51914317 + ... + 51919283.

Almost surely, 2^257870745600 is an apocalyptic number.

257870745600 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 257870745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461701507248).

257870745600 is an abundant number, since it is smaller than the sum of its proper divisors (665532268896).

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

257870745600 is a wasteful number, since it uses less digits than its factorization.

257870745600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5030 (or 4990 counting only the distinct ones).

The product of its (nonzero) digits is 3292800, while the sum is 51.

The spelling of 257870745600 in words is "two hundred fifty-seven billion, eight hundred seventy million, seven hundred forty-five thousand, six hundred".