257420032128 has 768 divisors, whose sum is σ = 924932736000. Its totient is φ = 69707796480.

The previous prime is 257420032091. The next prime is 257420032159. The reversal of 257420032128 is 821230024752.

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

It is a junction number, because it is equal to n+sod(n) for n = 257420032092 and 257420032101.

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 95 ways as a sum of consecutive naturals, for example, 372532263 + ... + 372532953.

It is an arithmetic number, because the mean of its divisors is an integer number (1204339500).

Almost surely, 2^257420032128 is an apocalyptic number.

257420032128 is a gapful number since it is divisible by the number (28) 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 257420032128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462466368000).

257420032128 is an abundant number, since it is smaller than the sum of its proper divisors (667512703872).

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

257420032128 is an equidigital number, since it uses as much as digits as its factorization.

257420032128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 257420032128 in words is "two hundred fifty-seven billion, four hundred twenty million, thirty-two thousand, one hundred twenty-eight".