257325235200 has 396 divisors, whose sum is σ = 1005114713928. Its totient is φ = 62381260800.

The previous prime is 257325235171. The next prime is 257325235207. The reversal of 257325235200 is 2532523752.

257325235200 is a `hidden beast` number, since 2 + 57 + 3 + 252 + 352 + 0 + 0 = 666.

257325235200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (396).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257325235207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2483634 + ... + 2585166.

Almost surely, 2^257325235200 is an apocalyptic number.

257325235200 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 257325235200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502557356964).

257325235200 is an abundant number, since it is smaller than the sum of its proper divisors (747789478728).

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

257325235200 is a wasteful number, since it uses less digits than its factorization.

257325235200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101580 (or 101554 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 36.

Adding to 257325235200 its reverse (2532523752), we get a palindrome (259857758952).

The spelling of 257325235200 in words is "two hundred fifty-seven billion, three hundred twenty-five million, two hundred thirty-five thousand, two hundred".