257400000000 has 1080 divisors, whose sum is σ = 1090933035192. Its totient is φ = 57600000000.

The previous prime is 257399999993. The next prime is 257400000019. The reversal of 257400000000 is 4752.

It is a happy number.

257400000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 107 ways as a sum of consecutive naturals, for example, 19799999994 + ... + 19800000006.

Almost surely, 2^257400000000 is an apocalyptic number.

257400000000 is a gapful number since it is divisible by the number (20) 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 257400000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545466517596).

257400000000 is an abundant number, since it is smaller than the sum of its proper divisors (833533035192).

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

257400000000 is an frugal number, since it uses more digits than its factorization.

257400000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

Adding to 257400000000 its reverse (4752), we get a palindrome (257400004752).

The spelling of 257400000000 in words is "two hundred fifty-seven billion, four hundred million", and thus it is an aban number.