257935919380542 has 48 divisors (see below), whose sum is σ = 612051334156080. Its totient is φ = 78019730499456.

The previous prime is 257935919380507. The next prime is 257935919380577. The reversal of 257935919380542 is 245083919539752.

257935919380542 is a `hidden beast` number, since 2 + 5 + 7 + 9 + 35 + 9 + 19 + 38 + 0 + 542 = 666.

It is an interprime number because it is at equal distance from previous prime (257935919380507) and next prime (257935919380577).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9341429023 + ... + 9341456634.

It is an arithmetic number, because the mean of its divisors is an integer number (12751069461585).

Almost surely, 2^{257935919380542} is an apocalyptic number.

257935919380542 is an abundant number, since it is smaller than the sum of its proper divisors (354115414775538).

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

257935919380542 is a wasteful number, since it uses less digits than its factorization.

257935919380542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18682885737 (or 18682885734 counting only the distinct ones).

The product of its (nonzero) digits is 734832000, while the sum is 72.

The spelling of 257935919380542 in words is "two hundred fifty-seven trillion, nine hundred thirty-five billion, nine hundred nineteen million, three hundred eighty thousand, five hundred forty-two".