257534786496 has 448 divisors, whose sum is σ = 801339194880. Its totient is φ = 72267202560.

The previous prime is 257534786489. The next prime is 257534786497. The reversal of 257534786496 is 694687435752.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257534786497) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 311408035 + ... + 311408861.

It is an arithmetic number, because the mean of its divisors is an integer number (1788703560).

Almost surely, 2^257534786496 is an apocalyptic number.

257534786496 is a gapful number since it is divisible by the number (26) 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 257534786496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400669597440).

257534786496 is an abundant number, since it is smaller than the sum of its proper divisors (543804408384).

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

257534786496 is a wasteful number, since it uses less digits than its factorization.

257534786496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1082 counting only the distinct ones).

The product of its digits is 304819200, while the sum is 66.

The spelling of 257534786496 in words is "two hundred fifty-seven billion, five hundred thirty-four million, seven hundred eighty-six thousand, four hundred ninety-six".