257896961451198 has 96 divisors (see below), whose sum is σ = 560734254112032. Its totient is φ = 85665127219200.

The previous prime is 257896961451149. The next prime is 257896961451211. The reversal of 257896961451198 is 891154169698752.

It is a happy number.

257896961451198 is a `hidden beast` number, since 2 + 5 + 7 + 8 + 9 + 6 + 9 + 6 + 1 + 4 + 511 + 98 = 666.

257896961451198 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 47 ways as a sum of consecutive naturals, for example, 26270440386 + ... + 26270450202.

It is an arithmetic number, because the mean of its divisors is an integer number (5840981813667).

Almost surely, 2^{257896961451198} is an apocalyptic number.

257896961451198 is an abundant number, since it is smaller than the sum of its proper divisors (302837292660834).

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

257896961451198 is a wasteful number, since it uses less digits than its factorization.

257896961451198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14650 (or 14647 counting only the distinct ones).

The product of its digits is 2351462400, while the sum is 81.

The spelling of 257896961451198 in words is "two hundred fifty-seven trillion, eight hundred ninety-six billion, nine hundred sixty-one million, four hundred fifty-one thousand, one hundred ninety-eight".