257864770560 has 704 divisors, whose sum is σ = 887133772800. Its totient is φ = 63814238208.

The previous prime is 257864770543. The next prime is 257864770561. The reversal of 257864770560 is 65077468752.

257864770560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×257864770560² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 257864770560.

It is not an unprimeable number, because it can be changed into a prime (257864770561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2281989064 + ... + 2281989176.

It is an arithmetic number, because the mean of its divisors is an integer number (1260133200).

Almost surely, 2^257864770560 is an apocalyptic number.

257864770560 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 257864770560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443566886400).

257864770560 is an abundant number, since it is smaller than the sum of its proper divisors (629269002240).

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

257864770560 is a wasteful number, since it uses less digits than its factorization.

257864770560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 19756800, while the sum is 57.

The spelling of 257864770560 in words is "two hundred fifty-seven billion, eight hundred sixty-four million, seven hundred seventy thousand, five hundred sixty".