257225743861632 has 1152 divisors, whose sum is σ = 1000959333192000. Its totient is φ = 62652489596928.

The previous prime is 257225743861579. The next prime is 257225743861637. The reversal of 257225743861632 is 236168347522752.

257225743861632 is a `hidden beast` number, since 2 + 5 + 7 + 2 + 2 + 5 + 7 + 4 + 3 + 8 + 616 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a self number, because there is not a number n which added to its sum of digits gives 257225743861632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257225743861637) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 489197844 + ... + 489723372.

Almost surely, 2^{257225743861632} 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 257225743861632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500479666596000).

257225743861632 is an abundant number, since it is smaller than the sum of its proper divisors (743733589330368).

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

257225743861632 is a wasteful number, since it uses less digits than its factorization.

257225743861632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525628 (or 525606 counting only the distinct ones).

The product of its digits is 203212800, while the sum is 63.

The spelling of 257225743861632 in words is "two hundred fifty-seven trillion, two hundred twenty-five billion, seven hundred forty-three million, eight hundred sixty-one thousand, six hundred thirty-two".