257729252928 has 168 divisors, whose sum is σ = 796197340800. Its totient is φ = 73362465792.

The previous prime is 257729252923. The next prime is 257729252941. The reversal of 257729252928 is 829252927752.

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (257729252923) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2479833 + ... + 2581671.

Almost surely, 2^257729252928 is an apocalyptic number.

257729252928 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 257729252928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398098670400).

257729252928 is an abundant number, since it is smaller than the sum of its proper divisors (538468087872).

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

257729252928 is a wasteful number, since it uses less digits than its factorization.

257729252928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102137 (or 102120 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 60.

The spelling of 257729252928 in words is "two hundred fifty-seven billion, seven hundred twenty-nine million, two hundred fifty-two thousand, nine hundred twenty-eight".