257841122112 has 672 divisors, whose sum is σ = 904551464960. Its totient is φ = 68662702080.

The previous prime is 257841122107. The next prime is 257841122131. The reversal of 257841122112 is 211221148752.

257841122112 is a `hidden beast` number, since 2 + 5 + 7 + 8 + 411 + 221 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 587337189 + ... + 587337627.

Almost surely, 2^257841122112 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 257841122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452275732480).

257841122112 is an abundant number, since it is smaller than the sum of its proper divisors (646710342848).

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

257841122112 is a wasteful number, since it uses less digits than its factorization.

257841122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 646 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The spelling of 257841122112 in words is "two hundred fifty-seven billion, eight hundred forty-one million, one hundred twenty-two thousand, one hundred twelve".