257063625000 has 1568 divisors, whose sum is σ = 1147635310080. Its totient is φ = 52488000000.

The previous prime is 257063624989. The next prime is 257063625001. The reversal of 257063625000 is 526360752.

It is a happy number.

257063625000 is a `hidden beast` number, since 2 + 570 + 6 + 36 + 2 + 50 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (257063625001) by changing a digit.

It is a polite number, since it can be written in 391 ways as a sum of consecutive naturals, for example, 8292374985 + ... + 8292375015.

Almost surely, 2^257063625000 is an apocalyptic number.

257063625000 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 257063625000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573817655040).

257063625000 is an abundant number, since it is smaller than the sum of its proper divisors (890571685080).

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

257063625000 is an frugal number, since it uses more digits than its factorization.

257063625000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

Adding to 257063625000 its reverse (526360752), we get a palindrome (257589985752).

The spelling of 257063625000 in words is "two hundred fifty-seven billion, sixty-three million, six hundred twenty-five thousand".