257860254492 has 120 divisors (see below), whose sum is σ = 685914490800. Its totient is φ = 84448341504.

The previous prime is 257860254473. The next prime is 257860254521. The reversal of 257860254492 is 294452068752.

257860254492 is a `hidden beast` number, since 2 + 5 + 7 + 8 + 6 + 0 + 2 + 544 + 92 = 666.

257860254492 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 51476884 + ... + 51481892.

It is an arithmetic number, because the mean of its divisors is an integer number (5715954090).

Almost surely, 2^257860254492 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257860254492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342957245400).

257860254492 is an abundant number, since it is smaller than the sum of its proper divisors (428054236308).

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

257860254492 is a wasteful number, since it uses less digits than its factorization.

257860254492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7777 (or 7766 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 257860254492 in words is "two hundred fifty-seven billion, eight hundred sixty million, two hundred fifty-four thousand, four hundred ninety-two".