257623326752 has 96 divisors (see below), whose sum is σ = 556035435648. Its totient is φ = 116524800000.

The previous prime is 257623326679. The next prime is 257623326767.

257623326752 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 257623326752.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100987877 + ... + 100990427.

It is an arithmetic number, because the mean of its divisors is an integer number (5792035788).

Almost surely, 2^257623326752 is an apocalyptic number.

257623326752 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 257623326752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278017717824).

257623326752 is an abundant number, since it is smaller than the sum of its proper divisors (298412108896).

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

257623326752 is a wasteful number, since it uses less digits than its factorization.

257623326752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3874 (or 3866 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 50.

The spelling of 257623326752 in words is "two hundred fifty-seven billion, six hundred twenty-three million, three hundred twenty-six thousand, seven hundred fifty-two".