257420232000 has 672 divisors, whose sum is σ = 965773186560. Its totient is φ = 65326694400.

The previous prime is 257420231993. The next prime is 257420232029. The reversal of 257420232000 is 232024752.

257420232000 is a `hidden beast` number, since 2 + 5 + 7 + 420 + 232 + 0 + 0 + 0 = 666.

257420232000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 594503784 + ... + 594504216.

It is an arithmetic number, because the mean of its divisors is an integer number (1437162480).

Almost surely, 2^257420232000 is an apocalyptic number.

257420232000 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 257420232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482886593280).

257420232000 is an abundant number, since it is smaller than the sum of its proper divisors (708352954560).

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

257420232000 is a wasteful number, since it uses less digits than its factorization.

257420232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

Adding to 257420232000 its reverse (232024752), we get a palindrome (257652256752).

The spelling of 257420232000 in words is "two hundred fifty-seven billion, four hundred twenty million, two hundred thirty-two thousand".