257525146368 has 576 divisors, whose sum is σ = 935007360000. Its totient is φ = 69693861888.

The previous prime is 257525146337. The next prime is 257525146379. The reversal of 257525146368 is 863641525752.

257525146368 is a `hidden beast` number, since 2 + 5 + 7 + 5 + 2 + 514 + 63 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45042646 + ... + 45048362.

Almost surely, 2^257525146368 is an apocalyptic number.

257525146368 is a gapful number since it is divisible by the number (28) 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 257525146368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467503680000).

257525146368 is an abundant number, since it is smaller than the sum of its proper divisors (677482213632).

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

257525146368 is an equidigital number, since it uses as much as digits as its factorization.

257525146368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5782 (or 5748 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 54.

The spelling of 257525146368 in words is "two hundred fifty-seven billion, five hundred twenty-five million, one hundred forty-six thousand, three hundred sixty-eight".