257224605696 has 280 divisors, whose sum is σ = 772466328150. Its totient is φ = 85614133248.

The previous prime is 257224605619. The next prime is 257224605731. The reversal of 257224605696 is 696506422752.

257224605696 is a `hidden beast` number, since 2 + 5 + 7 + 2 + 24 + 605 + 6 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 234101145600 + 23123460096 = 483840^2 + 152064^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 382205616 + ... + 382206288.

Almost surely, 2^257224605696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257224605696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386233164075).

257224605696 is an abundant number, since it is smaller than the sum of its proper divisors (515241722454).

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

257224605696 is an frugal number, since it uses more digits than its factorization.

257224605696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 257224605696 in words is "two hundred fifty-seven billion, two hundred twenty-four million, six hundred five thousand, six hundred ninety-six".