257494016000 has 672 divisors, whose sum is σ = 747954986688. Its totient is φ = 87805132800.

The previous prime is 257494015967. The next prime is 257494016051. The reversal of 257494016000 is 610494752.

257494016000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 8879103986 + ... + 8879104014.

It is an arithmetic number, because the mean of its divisors is an integer number (1113028254).

Almost surely, 2^257494016000 is an apocalyptic number.

257494016000 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 257494016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373977493344).

257494016000 is an abundant number, since it is smaller than the sum of its proper divisors (490460970688).

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

257494016000 is an equidigital number, since it uses as much as digits as its factorization.

257494016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The spelling of 257494016000 in words is "two hundred fifty-seven billion, four hundred ninety-four million, sixteen thousand".