257645253509280 has 2688 divisors, whose sum is σ = 1145510912609280. Its totient is φ = 53287631585280.

The previous prime is 257645253509279. The next prime is 257645253509321. The reversal of 257645253509280 is 82905352546752.

It is a happy number.

257645253509280 is a `hidden beast` number, since 2 + 5 + 7 + 6 + 4 + 5 + 2 + 535 + 0 + 92 + 8 + 0 = 666.

It is a super-2 number, since 2×257645253509280² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 280353920661 + ... + 280353921579.

It is an arithmetic number, because the mean of its divisors is an integer number (426157333560).

Almost surely, 2^{257645253509280} is an apocalyptic number.

257645253509280 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 257645253509280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572755456304640).

257645253509280 is an abundant number, since it is smaller than the sum of its proper divisors (887865659100000).

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

257645253509280 is a wasteful number, since it uses less digits than its factorization.

257645253509280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 181440000, while the sum is 63.

The spelling of 257645253509280 in words is "two hundred fifty-seven trillion, six hundred forty-five billion, two hundred fifty-three million, five hundred nine thousand, two hundred eighty".