257862844820 has 96 divisors (see below), whose sum is σ = 625304413440. Its totient is φ = 87495091200.

The previous prime is 257862844777. The next prime is 257862844831. The reversal of 257862844820 is 28448268752.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6147920 + ... + 6189720.

It is an arithmetic number, because the mean of its divisors is an integer number (6513587640).

Almost surely, 2^257862844820 is an apocalyptic number.

257862844820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257862844820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312652206720).

257862844820 is an abundant number, since it is smaller than the sum of its proper divisors (367441568620).

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

257862844820 is a wasteful number, since it uses less digits than its factorization.

257862844820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42273 (or 42271 counting only the distinct ones).

The product of its (nonzero) digits is 13762560, while the sum is 56.

The spelling of 257862844820 in words is "two hundred fifty-seven billion, eight hundred sixty-two million, eight hundred forty-four thousand, eight hundred twenty".