257264916480 has 1344 divisors, whose sum is σ = 1091817286560. Its totient is φ = 57330892800.

The previous prime is 257264916479. The next prime is 257264916521. The reversal of 257264916480 is 84619462752.

257264916480 is a `hidden beast` number, since 2 + 5 + 72 + 6 + 4 + 91 + 6 + 480 = 666.

It is a super-2 number, since 2×257264916480² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 111 ways as a sum of consecutive naturals, for example, 1067489160 + ... + 1067489400.

Almost surely, 2^257264916480 is an apocalyptic number.

257264916480 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 257264916480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545908643280).

257264916480 is an abundant number, since it is smaller than the sum of its proper divisors (834552370080).

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

257264916480 is a wasteful number, since it uses less digits than its factorization.

257264916480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 257264916480 in words is "two hundred fifty-seven billion, two hundred sixty-four million, nine hundred sixteen thousand, four hundred eighty".