257223435168 has 384 divisors, whose sum is σ = 854678200320. Its totient is φ = 65999831040.

The previous prime is 257223435167. The next prime is 257223435169. The reversal of 257223435168 is 861534322752.

It is an interprime number because it is at equal distance from previous prime (257223435167) and next prime (257223435169).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (257223435167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 136892853 + ... + 136894731.

It is an arithmetic number, because the mean of its divisors is an integer number (2225724480).

Almost surely, 2^257223435168 is an apocalyptic number.

257223435168 is a gapful number since it is divisible by the number (28) 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 257223435168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427339100160).

257223435168 is an abundant number, since it is smaller than the sum of its proper divisors (597454765152).

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

257223435168 is a wasteful number, since it uses less digits than its factorization.

257223435168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2460 (or 2452 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 48.

The spelling of 257223435168 in words is "two hundred fifty-seven billion, two hundred twenty-three million, four hundred thirty-five thousand, one hundred sixty-eight".