257435055360 has 1728 divisors, whose sum is σ = 1142808576000. Its totient is φ = 55306395648.

The previous prime is 257435055343. The next prime is 257435055413. The reversal of 257435055360 is 63550534752.

257435055360 is a `hidden beast` number, since 2 + 5 + 7 + 4 + 35 + 0 + 553 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2027047617 + ... + 2027047743.

Almost surely, 2^257435055360 is an apocalyptic number.

257435055360 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 257435055360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571404288000).

257435055360 is an abundant number, since it is smaller than the sum of its proper divisors (885373520640).

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

257435055360 is an equidigital number, since it uses as much as digits as its factorization.

257435055360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 1890000, while the sum is 45.

The spelling of 257435055360 in words is "two hundred fifty-seven billion, four hundred thirty-five million, fifty-five thousand, three hundred sixty".