257077128000 has 1792 divisors, whose sum is σ = 1150300569600. Its totient is φ = 49975296000.

The previous prime is 257077127977. The next prime is 257077128029. The reversal of 257077128000 is 821770752.

It is a self number, because there is not a number n which added to its sum of digits gives 257077128000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1539383917 + ... + 1539384083.

It is an arithmetic number, because the mean of its divisors is an integer number (641908800).

Almost surely, 2^257077128000 is an apocalyptic number.

257077128000 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 257077128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575150284800).

257077128000 is an abundant number, since it is smaller than the sum of its proper divisors (893223441600).

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

257077128000 is a wasteful number, since it uses less digits than its factorization.

257077128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 39.

Adding to 257077128000 its reverse (821770752), we get a palindrome (257898898752).

The spelling of 257077128000 in words is "two hundred fifty-seven billion, seventy-seven million, one hundred twenty-eight thousand".