257663911680 has 576 divisors, whose sum is σ = 1049759155200. Its totient is φ = 58624819200.

The previous prime is 257663911669. The next prime is 257663911721. The reversal of 257663911680 is 86119366752.

257663911680 is a `hidden beast` number, since 2 + 576 + 6 + 3 + 9 + 1 + 1 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 55397355 + ... + 55402005.

Almost surely, 2^257663911680 is an apocalyptic number.

257663911680 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 257663911680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524879577600).

257663911680 is an abundant number, since it is smaller than the sum of its proper divisors (792095243520).

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

257663911680 is a wasteful number, since it uses less digits than its factorization.

257663911680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4917 (or 4897 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 257663911680 in words is "two hundred fifty-seven billion, six hundred sixty-three million, nine hundred eleven thousand, six hundred eighty".