257465787282 has 96 divisors (see below), whose sum is σ = 610798196736. Its totient is φ = 77732978400.

The previous prime is 257465787269. The next prime is 257465787353. The reversal of 257465787282 is 282787564752.

257465787282 is a `hidden beast` number, since 2 + 57 + 4 + 6 + 578 + 7 + 2 + 8 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74345883 + ... + 74349345.

It is an arithmetic number, because the mean of its divisors is an integer number (6362481216).

Almost surely, 2^257465787282 is an apocalyptic number.

257465787282 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 257465787282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305399098368).

257465787282 is an abundant number, since it is smaller than the sum of its proper divisors (353332409454).

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

257465787282 is a wasteful number, since it uses less digits than its factorization.

257465787282 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4756 (or 4753 counting only the distinct ones).

The product of its digits is 105369600, while the sum is 63.

The spelling of 257465787282 in words is "two hundred fifty-seven billion, four hundred sixty-five million, seven hundred eighty-seven thousand, two hundred eighty-two".