257449168080 has 240 divisors, whose sum is σ = 963216006480. Its totient is φ = 61186793472.

The previous prime is 257449168073. The next prime is 257449168127. The reversal of 257449168080 is 80861944752.

It is a happy number.

257449168080 is a `hidden beast` number, since 2 + 5 + 74 + 491 + 6 + 8 + 0 + 80 = 666.

257449168080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 5099673744 + 252349494336 = 71412^2 + 502344^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 202789 + ... + 745668.

It is an arithmetic number, because the mean of its divisors is an integer number (4013400027).

Almost surely, 2^257449168080 is an apocalyptic number.

257449168080 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 257449168080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481608003240).

257449168080 is an abundant number, since it is smaller than the sum of its proper divisors (705766838400).

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

257449168080 is a wasteful number, since it uses less digits than its factorization.

257449168080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948518 (or 948509 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 257449168080 in words is "two hundred fifty-seven billion, four hundred forty-nine million, one hundred sixty-eight thousand, eighty".