257085024487200 has 2160 divisors, whose sum is σ = 1175458067118720. Its totient is φ = 54197864017920.

The previous prime is 257085024487171. The next prime is 257085024487231. The reversal of 257085024487200 is 2784420580752.

It is a happy number.

257085024487200 is a `hidden beast` number, since 2 + 5 + 70 + 8 + 50 + 24 + 487 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 85155687291 + ... + 85155690309.

It is an arithmetic number, because the mean of its divisors is an integer number (544193549592).

Almost surely, 2^{257085024487200} is an apocalyptic number.

257085024487200 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 257085024487200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587729033559360).

257085024487200 is an abundant number, since it is smaller than the sum of its proper divisors (918373042631520).

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

257085024487200 is a wasteful number, since it uses less digits than its factorization.

257085024487200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5141 (or 5112 counting only the distinct ones).

The product of its (nonzero) digits is 10035200, while the sum is 54.

The spelling of 257085024487200 in words is "two hundred fifty-seven trillion, eighty-five billion, twenty-four million, four hundred eighty-seven thousand, two hundred".