257575351488 has 672 divisors, whose sum is σ = 922261401600. Its totient is φ = 61696180224.

The previous prime is 257575351483. The next prime is 257575351489. The reversal of 257575351488 is 884153575752.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (257575351483) by changing a digit.

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, 146431953 + ... + 146433711.

It is an arithmetic number, because the mean of its divisors is an integer number (1372412800).

Almost surely, 2^257575351488 is an apocalyptic number.

257575351488 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 257575351488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461130700800).

257575351488 is an abundant number, since it is smaller than the sum of its proper divisors (664686050112).

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

257575351488 is a wasteful number, since it uses less digits than its factorization.

257575351488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1857 (or 1830 counting only the distinct ones).

The product of its digits is 47040000, while the sum is 60.

The spelling of 257575351488 in words is "two hundred fifty-seven billion, five hundred seventy-five million, three hundred fifty-one thousand, four hundred eighty-eight".