257323253760 has 480 divisors, whose sum is σ = 920286097920. Its totient is φ = 68216684544.

The previous prime is 257323253749. The next prime is 257323253771. The reversal of 257323253760 is 67352323752.

257323253760 is a `hidden beast` number, since 2 + 5 + 7 + 323 + 253 + 76 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (257323253749) and next prime (257323253771).

It is a tau number, because it is divible by the number of its divisors (480).

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

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, 701153097 + ... + 701153463.

It is an arithmetic number, because the mean of its divisors is an integer number (1917262704).

Almost surely, 2^257323253760 is an apocalyptic number.

257323253760 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 257323253760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460143048960).

257323253760 is an abundant number, since it is smaller than the sum of its proper divisors (662962844160).

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

257323253760 is an equidigital number, since it uses as much as digits as its factorization.

257323253760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 45.

The spelling of 257323253760 in words is "two hundred fifty-seven billion, three hundred twenty-three million, two hundred fifty-three thousand, seven hundred sixty".