257416131695250 has 256 divisors, whose sum is σ = 705502379851776. Its totient is φ = 61996306176000.

The previous prime is 257416131695243. The next prime is 257416131695279. The reversal of 257416131695250 is 52596131614752.

It is a happy number.

257416131695250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3486899839 + ... + 3486973661.

It is an arithmetic number, because the mean of its divisors is an integer number (2755868671296).

Almost surely, 2^{257416131695250} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257416131695250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352751189925888).

257416131695250 is an abundant number, since it is smaller than the sum of its proper divisors (448086248156526).

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

257416131695250 is a wasteful number, since it uses less digits than its factorization.

257416131695250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76610 (or 76600 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 57.

The spelling of 257416131695250 in words is "two hundred fifty-seven trillion, four hundred sixteen billion, one hundred thirty-one million, six hundred ninety-five thousand, two hundred fifty".