257105766400 has 576 divisors, whose sum is σ = 764741053440. Its totient is φ = 83872972800.

The previous prime is 257105766383. The next prime is 257105766419. The reversal of 257105766400 is 4667501752.

It is a super-2 number, since 2×257105766400² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 811059042 + ... + 811059358.

It is an arithmetic number, because the mean of its divisors is an integer number (1327675440).

Almost surely, 2^257105766400 is an apocalyptic number.

257105766400 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 257105766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382370526720).

257105766400 is an abundant number, since it is smaller than the sum of its proper divisors (507635287040).

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

257105766400 is a wasteful number, since it uses less digits than its factorization.

257105766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 43.

The spelling of 257105766400 in words is "two hundred fifty-seven billion, one hundred five million, seven hundred sixty-six thousand, four hundred".