257067243513640 has 128 divisors (see below), whose sum is σ = 672282076320000. Its totient is φ = 86637284978688.

The previous prime is 257067243513629. The next prime is 257067243513677. The reversal of 257067243513640 is 46315342760752.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 233191584 + ... + 234291376.

It is an arithmetic number, because the mean of its divisors is an integer number (5252203721250).

Almost surely, 2^{257067243513640} is an apocalyptic number.

257067243513640 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 257067243513640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336141038160000).

257067243513640 is an abundant number, since it is smaller than the sum of its proper divisors (415214832806360).

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

257067243513640 is a wasteful number, since it uses less digits than its factorization.

257067243513640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114019 (or 1114015 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 55.

The spelling of 257067243513640 in words is "two hundred fifty-seven trillion, sixty-seven billion, two hundred forty-three million, five hundred thirteen thousand, six hundred forty".