257866120512 has 1680 divisors, whose sum is σ = 1083056325120. Its totient is φ = 59570380800.

The previous prime is 257866120487. The next prime is 257866120517. The reversal of 257866120512 is 215021668752.

257866120512 is a `hidden beast` number, since 2 + 5 + 7 + 8 + 6 + 6 + 120 + 512 = 666.

257866120512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×257866120512² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257866120517) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1126052814 + ... + 1126053042.

It is an arithmetic number, because the mean of its divisors is an integer number (644676384).

Almost surely, 2^257866120512 is an apocalyptic number.

257866120512 is a gapful number since it is divisible by the number (22) 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 257866120512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541528162560).

257866120512 is an abundant number, since it is smaller than the sum of its proper divisors (825190204608).

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

257866120512 is a wasteful number, since it uses less digits than its factorization.

257866120512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 257866120512 in words is "two hundred fifty-seven billion, eight hundred sixty-six million, one hundred twenty thousand, five hundred twelve".