257787382048 has 48 divisors (see below), whose sum is σ = 580176281664. Its totient is φ = 110450845440.

The previous prime is 257787382037. The next prime is 257787382049. The reversal of 257787382048 is 840283787752.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (257787382049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 698983 + ... + 1002073.

It is an arithmetic number, because the mean of its divisors is an integer number (12087005868).

Almost surely, 2^257787382048 is an apocalyptic number.

257787382048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

257787382048 is an abundant number, since it is smaller than the sum of its proper divisors (322388899616).

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

257787382048 is a wasteful number, since it uses less digits than its factorization.

257787382048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306905 (or 306897 counting only the distinct ones).

The product of its (nonzero) digits is 42147840, while the sum is 61.

The spelling of 257787382048 in words is "two hundred fifty-seven billion, seven hundred eighty-seven million, three hundred eighty-two thousand, forty-eight".