257725159831296 has 432 divisors, whose sum is σ = 851677960039200. Its totient is φ = 76599415701504.

The previous prime is 257725159831259. The next prime is 257725159831297. The reversal of 257725159831296 is 692138951527752.

257725159831296 is a `hidden beast` number, since 2 + 5 + 7 + 7 + 2 + 5 + 1 + 598 + 3 + 1 + 29 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257725159831297) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39381090 + ... + 45456798.

It is an arithmetic number, because the mean of its divisors is an integer number (1971476759350).

Almost surely, 2^{257725159831296} 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 257725159831296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425838980019600).

257725159831296 is an abundant number, since it is smaller than the sum of its proper divisors (593952800207904).

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

257725159831296 is a wasteful number, since it uses less digits than its factorization.

257725159831296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6075789 (or 6075750 counting only the distinct ones).

The product of its digits is 571536000, while the sum is 72.

The spelling of 257725159831296 in words is "two hundred fifty-seven trillion, seven hundred twenty-five billion, one hundred fifty-nine million, eight hundred thirty-one thousand, two hundred ninety-six".