257435088141120 has 56 divisors (see below), whose sum is σ = 817356404851104. Its totient is φ = 68649356837376.

The previous prime is 257435088141097. The next prime is 257435088141211. The reversal of 257435088141120 is 21141880534752.

257435088141120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134080774114 + ... + 134080776033.

Almost surely, 2^{257435088141120} is an apocalyptic number.

257435088141120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257435088141120 is an abundant number, since it is smaller than the sum of its proper divisors (559921316709984).

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

257435088141120 is a wasteful number, since it uses less digits than its factorization.

257435088141120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268161550167 (or 268161550157 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 51.

The spelling of 257435088141120 in words is "two hundred fifty-seven trillion, four hundred thirty-five billion, eighty-eight million, one hundred forty-one thousand, one hundred twenty".