257577978240 has 896 divisors, whose sum is σ = 1040298163200. Its totient is φ = 60391526400.

The previous prime is 257577978211. The next prime is 257577978283. The reversal of 257577978240 is 42879775752.

257577978240 is a `hidden beast` number, since 2 + 57 + 577 + 9 + 7 + 8 + 2 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 159096151 + ... + 159097769.

Almost surely, 2^257577978240 is an apocalyptic number.

257577978240 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 257577978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520149081600).

257577978240 is an abundant number, since it is smaller than the sum of its proper divisors (782720184960).

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

257577978240 is a wasteful number, since it uses less digits than its factorization.

257577978240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1698 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 69148800, while the sum is 63.

The spelling of 257577978240 in words is "two hundred fifty-seven billion, five hundred seventy-seven million, nine hundred seventy-eight thousand, two hundred forty".