257234353920 has 216 divisors, whose sum is σ = 908942239296. Its totient is φ = 67136200704.

The previous prime is 257234353913. The next prime is 257234353921. The reversal of 257234353920 is 29353432752.

257234353920 is a `hidden beast` number, since 2 + 5 + 72 + 3 + 43 + 539 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257234353921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 303894 + ... + 778986.

Almost surely, 2^257234353920 is an apocalyptic number.

257234353920 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 257234353920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454471119648).

257234353920 is an abundant number, since it is smaller than the sum of its proper divisors (651707885376).

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

257234353920 is a wasteful number, since it uses less digits than its factorization.

257234353920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475167 (or 475150 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 45.

The spelling of 257234353920 in words is "two hundred fifty-seven billion, two hundred thirty-four million, three hundred fifty-three thousand, nine hundred twenty".