257871304978560 has 2688 divisors, whose sum is σ = 1218867429931200. Its totient is φ = 51543303340032.

The previous prime is 257871304978549. The next prime is 257871304978561. The reversal of 257871304978560 is 65879403178752.

257871304978560 is a `hidden beast` number, since 2 + 5 + 7 + 8 + 7 + 13 + 0 + 49 + 7 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (257871304978561) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 5646752847 + ... + 5646798513.

It is a 1-persistent number, because it is pandigital, but 2⋅257871304978560 = 515742609957120 is not.

Almost surely, 2^{257871304978560} is an apocalyptic number.

257871304978560 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 257871304978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609433714965600).

257871304978560 is an abundant number, since it is smaller than the sum of its proper divisors (960996124952640).

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

257871304978560 is a wasteful number, since it uses less digits than its factorization.

257871304978560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45750 (or 45716 counting only the distinct ones).

The product of its (nonzero) digits is 711244800, while the sum is 72.

The spelling of 257871304978560 in words is "two hundred fifty-seven trillion, eight hundred seventy-one billion, three hundred four million, nine hundred seventy-eight thousand, five hundred sixty".