257788231680 has 360 divisors, whose sum is σ = 959619080448. Its totient is φ = 58920271872.

The previous prime is 257788231669. The next prime is 257788231703. The reversal of 257788231680 is 86132887752.

It is a self number, because there is not a number n which added to its sum of digits gives 257788231680.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12031537 + ... + 12052943.

Almost surely, 2^257788231680 is an apocalyptic number.

257788231680 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 257788231680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479809540224).

257788231680 is an abundant number, since it is smaller than the sum of its proper divisors (701830848768).

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

257788231680 is an equidigital number, since it uses as much as digits as its factorization.

257788231680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21457 (or 21424 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 57.

The spelling of 257788231680 in words is "two hundred fifty-seven billion, seven hundred eighty-eight million, two hundred thirty-one thousand, six hundred eighty".