257332004915328 has 448 divisors, whose sum is σ = 886492166788800. Its totient is φ = 72848882939904.

The previous prime is 257332004915309. The next prime is 257332004915417. The reversal of 257332004915328 is 823519400233752.

257332004915328 is a `hidden beast` number, since 2 + 5 + 73 + 3 + 200 + 49 + 1 + 5 + 328 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 69389875 + ... + 73004237.

Almost surely, 2^{257332004915328} is an apocalyptic number.

257332004915328 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 257332004915328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443246083394400).

257332004915328 is an abundant number, since it is smaller than the sum of its proper divisors (629160161873472).

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

257332004915328 is an equidigital number, since it uses as much as digits as its factorization.

257332004915328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3614511 (or 3614484 counting only the distinct ones).

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

The spelling of 257332004915328 in words is "two hundred fifty-seven trillion, three hundred thirty-two billion, four million, nine hundred fifteen thousand, three hundred twenty-eight".