257445029664 has 288 divisors, whose sum is σ = 764949407040. Its totient is φ = 82030233600.

The previous prime is 257445029651. The next prime is 257445029689. The reversal of 257445029664 is 466920544752.

257445029664 is a `hidden beast` number, since 2 + 5 + 7 + 44 + 502 + 96 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 257445029664.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 611508174 + ... + 611508594.

It is an arithmetic number, because the mean of its divisors is an integer number (2656074330).

Almost surely, 2^257445029664 is an apocalyptic number.

257445029664 is a gapful number since it is divisible by the number (24) 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 257445029664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382474703520).

257445029664 is an abundant number, since it is smaller than the sum of its proper divisors (507504377376).

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

257445029664 is a wasteful number, since it uses less digits than its factorization.

257445029664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 257445029664 in words is "two hundred fifty-seven billion, four hundred forty-five million, twenty-nine thousand, six hundred sixty-four".