257228750338560 has 3840 divisors, whose sum is σ = 1267487155630080. Its totient is φ = 48596053524480.

The previous prime is 257228750338559. The next prime is 257228750338597. The reversal of 257228750338560 is 65833057822752.

It is a happy number.

257228750338560 is a `hidden beast` number, since 2 + 5 + 7 + 228 + 75 + 0 + 338 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 32449693317 + ... + 32449701243.

It is an arithmetic number, because the mean of its divisors is an integer number (330074780112).

Almost surely, 2^{257228750338560} is an apocalyptic number.

257228750338560 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 257228750338560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633743577815040).

257228750338560 is an abundant number, since it is smaller than the sum of its proper divisors (1010258405291520).

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

257228750338560 is a wasteful number, since it uses less digits than its factorization.

257228750338560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8064 (or 8035 counting only the distinct ones).

The product of its (nonzero) digits is 169344000, while the sum is 63.

The spelling of 257228750338560 in words is "two hundred fifty-seven trillion, two hundred twenty-eight billion, seven hundred fifty million, three hundred thirty-eight thousand, five hundred sixty".