257378595432 has 128 divisors (see below), whose sum is σ = 747053798400. Its totient is φ = 72372469248.

The previous prime is 257378595421. The next prime is 257378595497. The reversal of 257378595432 is 234595873752.

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 31 ways as a sum of consecutive naturals, for example, 5704819 + ... + 5749757.

It is an arithmetic number, because the mean of its divisors is an integer number (5836357800).

Almost surely, 2^257378595432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257378595432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373526899200).

257378595432 is an abundant number, since it is smaller than the sum of its proper divisors (489675202968).

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

257378595432 is a wasteful number, since it uses less digits than its factorization.

257378595432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45495 (or 45491 counting only the distinct ones).

The product of its digits is 63504000, while the sum is 60.

The spelling of 257378595432 in words is "two hundred fifty-seven billion, three hundred seventy-eight million, five hundred ninety-five thousand, four hundred thirty-two".