257467986720 has 768 divisors, whose sum is σ = 1049202201600. Its totient is φ = 58477510656.

The previous prime is 257467986697. The next prime is 257467986733. The reversal of 257467986720 is 27689764752.

257467986720 is a `hidden beast` number, since 2 + 5 + 7 + 467 + 98 + 67 + 20 = 666.

257467986720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 629505876 + ... + 629506284.

It is an arithmetic number, because the mean of its divisors is an integer number (1366148700).

Almost surely, 2^257467986720 is an apocalyptic number.

257467986720 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 257467986720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524601100800).

257467986720 is an abundant number, since it is smaller than the sum of its proper divisors (791734214880).

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

257467986720 is an equidigital number, since it uses as much as digits as its factorization.

257467986720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 257467986720 in words is "two hundred fifty-seven billion, four hundred sixty-seven million, nine hundred eighty-six thousand, seven hundred twenty".