257668866752 has 112 divisors (see below), whose sum is σ = 567730477440. Its totient is φ = 115039334400.

The previous prime is 257668866751. The next prime is 257668866769.

257668866752 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (257668866751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73807727 + ... + 73811217.

It is an arithmetic number, because the mean of its divisors is an integer number (5069022120).

Almost surely, 2^257668866752 is an apocalyptic number.

257668866752 is a gapful number since it is divisible by the number (22) 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 257668866752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283865238720).

257668866752 is an abundant number, since it is smaller than the sum of its proper divisors (310061610688).

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

257668866752 is a wasteful number, since it uses less digits than its factorization.

257668866752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5350 (or 5340 counting only the distinct ones).

The product of its digits is 406425600, while the sum is 68.

The spelling of 257668866752 in words is "two hundred fifty-seven billion, six hundred sixty-eight million, eight hundred sixty-six thousand, seven hundred fifty-two".